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Fractions Questions and Problems with Solutions

Questions and problems with solutions on fractions are presented. Detailed solutions to the examples are also included. In order to master the concepts and skills of fractions, you need a thorough understanding (NOT memorizing) of the rules and properties and lot of practice and patience. I hope the examples, questions, problems in the links below will help you.

  • Fractions and Mixed Numbers , define fractions and mixed numbers, and introduce important vocabulary.
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  • Adding Fractions. Add fractions with same denominator or different denominator. Several examples with detailed solutions and exercises.
  • Multiply Fractions. Multiply a fraction by another fraction or a number by a fraction. Examples with solutions and exercises.
  • Divide Fractions. Divide a fraction by a fraction, a fraction by a number of a number by a fraction. Several examples with solutions and exercises with answers.

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Fraction Word Problem Worksheets

Featured here is a vast collection of fraction word problems, which require learners to simplify fractions, add like and unlike fractions; subtract like and unlike fractions; multiply and divide fractions. The fraction word problems include proper fraction, improper fraction, and mixed numbers. Solve each word problem and scroll down each printable worksheet to verify your solutions using the answer key provided. Thumb through some of these word problem worksheets for free!

Represent and Simplify the Fractions: Type 1

Represent and Simplify the Fractions: Type 1

Presented here are the fraction pdf worksheets based on real-life scenarios. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form.

  • Download the set

Represent and Simplify the Fractions: Type 2

Represent and Simplify the Fractions: Type 2

Before representing in fraction, children should perform addition or subtraction to solve these fraction word problems. Write your answer in the simplest form.

Adding Fractions Word Problems Worksheets

Adding Fractions Word Problems Worksheets

Conjure up a picture of how adding fractions plays a significant role in our day-to-day lives with the help of the real-life scenarios and circumstances presented as word problems here.

(15 Worksheets)

Subtracting Fractions Word Problems Worksheets

Subtracting Fractions Word Problems Worksheets

Crank up your skills with this set of printable worksheets on subtracting fractions word problems presenting real-world situations that involve fraction subtraction!

Multiplying Fractions Word Problems Worksheets

Multiplying Fractions Word Problems Worksheets

This set of printables is for the ardently active children! Explore the application of fraction multiplication and mixed-number multiplication in the real world with this exhilarating practice set.

Fraction Division Word Problems Worksheets

Fraction Division Word Problems Worksheets

Gift children a broad view of the real-life application of dividing fractions! Let them divide fractions by whole numbers, divide 2 fractions, divide mixed numbers, and solve the word problems here.

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» Decimal Word Problems

» Ratio Word Problems

» Division Word Problems

» Math Word Problems

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How to Solve Fraction Questions in Math

Last Updated: April 14, 2024 Fact Checked

This article was co-authored by Mario Banuelos, PhD and by wikiHow staff writer, Sophia Latorre . Mario Banuelos is an Assistant Professor of Mathematics at California State University, Fresno. With over eight years of teaching experience, Mario specializes in mathematical biology, optimization, statistical models for genome evolution, and data science. Mario holds a BA in Mathematics from California State University, Fresno, and a Ph.D. in Applied Mathematics from the University of California, Merced. Mario has taught at both the high school and collegiate levels. There are 7 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 1,196,249 times.

Fraction questions can look tricky at first, but they become easier with practice and know-how. Start by learning the terminology and fundamentals, then pratice adding, subtracting, multiplying, and dividing fractions. [1] X Research source Once you understand what fractions are and how to manipulate them, you'll be breezing through fraction problems in no time.

Doing Calculations with Fractions

Step 1 Add fractions with the same denominator by combining the numerators.

  • For instance, to solve 5/9 + 1/9, just add 5 + 1, which equals 6. The answer, then, is 6/9 which can be reduced to 2/3.

Step 2 Subtract fractions with the same denominator by subtracting the numerators.

  • For instance, to solve 6/8 - 2/8, all you do is take away 2 from 6. The answer is 4/8, which can be reduced to 1/2.

Step 3 Find a common...

  • For example, if you need to add 1/2 and 2/3, start by determining a common multiple. In this case, the common multiple is 6 since both 2 and 3 can be converted to 6. To turn 1/2 into a fraction with a denominator of 6, multiply both the numerator and denominator by 3: 1 x 3 = 3 and 2 x 3 = 6, so the new fraction is 3/6. To turn 2/3 into a fraction with a denominator of 6, multiply both the numerator and denominator by 2: 2 x 2 = 4 and 3 x 2 = 6, so the new fraction is 4/6. Now, you can add the numerators: 3/6 + 4/6 = 7/6. Since this is an improper fraction, you can convert it to the mixed number 1 1/6.
  • On the other hand, say you're working on the problem 7/10 - 1/5. The common multiple in this case is 10, since 1/5 can be converted into a fraction with a denominator of 10 by multiplying it by 2: 1 x 2 = 2 and 5 x 2 = 10, so the new fraction is 2/10. You don't need to convert the other fraction at all. Just subtract 2 from 7, which is 5. The answer is 5/10, which can also be reduced to 1/2.

Step 4 Multiply fractions straight across.

  • For instance, to multiply 2/3 and 7/8, find the new numerator by multiplying 2 by 7, which is 14. Then, multiply 3 by 8, which is 24. Therefore, the answer is 14/24, which can be reduced to 7/12 by dividing both the numerator and denominator by 2.

Step 5 Divide fractions by flipping the second fraction upside down and multiplying straight across.

  • For example, to solve 1/2 ÷ 1/6, flip 1/6 upside down so it becomes 6/1. Then just multiply 1 x 6 to find the numerator (which is 6) and 2 x 1 to find the denominator (which is 2). So, the answer is 6/2 which is equal to 3.

Joseph Meyer

Joseph Meyer

Think about fractions as portions of a whole. Imagine dividing objects like pizzas or cakes into equal parts. Visualizing fractions this way improves comprehension, compared to relying solely on memorization. This approach can be helpful when adding, subtracting, and comparing fractions.

Practicing the Basics

Step 1 Note that the numerator is on the top and the denominator is on the bottom.

  • For instance, in 3/5, 3 is the numerator so there are 3 parts and 5 is the denominator so there are 5 total parts. In 7/8, 7 is the numerator and 8 is the denominator.

Step 2 Turn a whole number into a fraction by putting it over 1.

  • If you need to turn 7 into a fraction, for instance, write it as 7/1.

Step 3 Reduce fractions if you need to simplify them.

  • For example, if you have the fraction 15/45, the greatest common factor is 15, since both 15 and 45 can be divided by 15. Divide 15 by 15, which is 1, so that's your new numerator. Divide 45 by 15, which is 3, so that's your new denominator. This means that 15/45 can be reduced to 1/3.

Step 4 Learn to turn...

  • Say you have the mixed number 1 2/3. Stary by multiplying 3 by 1, which is 3. Add 3 to 2, the existing numerator. The new numerator is 5, so the mixed fraction is 5/3.

Tip: Typically, you'll need to convert mixed numbers to improper fractions if you're multiplying or dividing them.

Step 5 Figure out how...

  • Say that you have the improper fraction 17/4. Set up the problem as 17 ÷ 4. The number 4 goes into 17 a total of 4 times, so the whole number is 4. Then, multiply 4 by 4, which is equal to 16. Subtract 16 from 17, which is equal to 1, so that's the remainder. This means that 17/4 is the same as 4 1/4.

Fraction Calculator, Practice Problems, and Answers

fraction problem solving question

Community Q&A

Community Answer

  • Check with your teacher to find out if you need to convert improper fractions into mixed numbers and/or reduce fractions to their lowest terms to get full marks. Thanks Helpful 2 Not Helpful 1
  • Take the time to carefully read through the problem at least twice so you can be sure you know what it's asking you to do. Thanks Helpful 2 Not Helpful 2
  • To take the reciprocal of a whole number, just put a 1 over it. For example, 5 becomes 1/5. Thanks Helpful 1 Not Helpful 1

fraction problem solving question

You Might Also Like

Solve Systems of Algebraic Equations Containing Two Variables

  • ↑ https://www.sparknotes.com/math/prealgebra/fractions/terms/
  • ↑ https://www.bbc.co.uk/bitesize/articles/z9n4k7h
  • ↑ https://www.mathsisfun.com/fractions_multiplication.html
  • ↑ https://www.mathsisfun.com/fractions_division.html
  • ↑ https://medium.com/i-math/the-no-nonsense-straightforward-da76a4849ec
  • ↑ https://www.youtube.com/watch?v=PcEwj5_v75g
  • ↑ https://sciencing.com/solve-math-problems-fractions-7964895.html

About This Article

Mario Banuelos, PhD

To solve a fraction multiplication question in math, line up the 2 fractions next to each other. Multiply the top of the left fraction by the top of the right fraction and write that answer on top, then multiply the bottom of each fraction and write that answer on the bottom. Simplify the new fraction as much as possible. To divide fractions, flip one of the fractions upside-down and multiply them the same way. If you need to add or subtract fractions, keep reading! Did this summary help you? Yes No

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Fractions Worksheets

Fraction worksheets for grades 1 through 6.

Our fraction worksheets start with the introduction of the concepts of " equal parts ", "parts of a whole" and "fractions of a group or set"; and proceed to operations on fractions and mixed numbers.  

Choose your grade / topic:

Grade 1 fraction worksheets, grade 2 fraction worksheets, grade 3 fraction worksheets.

Fraction worksheets

Fractions to decimals

Fraction addition and subtraction

Fraction multiplication and division

Converting fractions, equivalent fractions, simplifying fractions

Fraction to / from decimals 

Fraction addition and subtraction 

Fraction multiplication and division worksheets

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Topics include:

  • Identifying "equal parts"
  • Dividing shapes into "equal parts"
  • Parts of a whole
  • Fractions in words
  • Coloring shapes to make fractions
  • Writing fractions
  • Fractions of a group or set
  • Word problems: write the fraction from the story
  • Equal parts
  • Numerators and denominators of a fraction
  • Writing fractions from a numerator and denominator
  • Reading fractions and matching to their words
  • Writing fractions in words
  • Identifying common fractions (matching, coloring, etc)
  • Fractions as part of a set or group (identifying, writing, coloring, etc)
  • Using fractions to describe a set
  • Comparing fractions with pie charts (parts of whole, same denominator)
  • Comparing fractions with pie charts (same numerator, different denominators)
  • Comparing fractions with pictures (parts of sets)
  • Comparing fractions with block diagrams
  • Understanding fractions word problems
  • Writing and comparing fractions word problems
  • Identifying fractions
  • Fractional part of a set
  • Identifying equivalent fractions
  • Equivalent fractions - missing numerators, denominators
  • 3 Equivalent fractions
  • Comparing fractions with pie charts (same denominator)
  • Comparing proper fractions with pie charts
  • Comparing proper or improper fractions with pie charts
  • Compare mixed numbers with pie charts
  • Comparing fractions (like, unlike denominators)
  • Compare improper fractions, mixed numbers
  • Simplifying fractions (proper, improper)
  • Adding like fractions
  • Adding mixed numbers
  • Completing whole numbers
  • Subtracting like fractions
  • Subtracting a fraction from a whole number or mixed number
  • Subtracting mixed numbers
  • Converting fractions to / from mixed numbers
  • Converting mixed numbers and fractions to / from decimals
  • Fractions word problems

Grade 4 fraction worksheets

  • Adding like fractions (denominators 2-12)
  • Adding like fractions (all denominators)
  • Adding fractions and mixed numbers (like denominators)
  • Subtracting like fractions (denominators 2-12)
  • Subtracting fractions from whole numbers, mixed numbers
  • Subtracting mixed numbers from mixed numbers or whole numbers
  • Comparing improper fractions and mixed numbers with pie charts
  • Comparing proper and improper fractions
  • Ordering 3 fractions
  • Identifying equivalent fractions (pie charts)
  • Writing equivalent fractions (pie charts)
  • Equivalent fractions with missing numerators or denominators

Grade 4 fractions to decimals worksheets

  • Convert decimals to fractions (tenths, hundredths)
  • Convert decimals to mixed numbers (tenths, hundredths)
  • Convert fractions to decimals (denominator of 10 or 100)
  • Convert mixed numbers to decimals (denominator of 10 or 100)

Grade 5 addition and subtraction of fractions worksheets

  • Adding like fractions (denominators 2-25)
  • Adding mixed numbers and / or fractions (like denominators)
  • Adding unlike fractions & mixed numbers
  • Subtracting fractions from whole numbers and mixed numbers (same denominators)
  • Subtracting mixed numbers with missing subtrahend or minuend)
  • Subtracting unlike fractions
  • Subtracting mixed numbers (unlike denominators)
  • Word problems on adding and subtracting fractions

Grade 5 fraction multiplication and division worksheets

  • Multiply fractions by whole numbers
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  • Missing factor questions
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  • Divide mixed numbers by fractions
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  • Word problems on multiplying and dividing fractions
  • Mixed operations with fractions word problems

Grade 5 converting, simplifying & equivalent fractions

  • Converting improper fractions to / from mixed numbers
  • Simplifying proper fractions
  • Simplifying proper and improper fractions
  • Equivalent fractions (2 fractions)
  • Equivalent fractions (3 fractions)

Grade 5 fraction to / from decimals worksheets

  • Convert decimals to fractions (tenths, hundredths), no simplification
  • Convert decimals to fractions (tenths, hundredths), with simplification
  • Convert decimals to mixed numbers
  • Convert fractions to decimals (denominators of 10 or 100)
  • Convert mixed numbers to decimals (denominators of 10 or 100)
  • Convert mixed numbers to decimals (denominators of 10, 100 or 1000)
  • Convert fractions to decimals (common denominators of 2, 4, 5, ...)
  • Convert mixed numbers to decimals (common denominators of 2, 4, 5, ...)
  • Convert fractions to decimals, some with repeating decimals

Grade 6 addition and subtraction of fractions worksheets

  • Adding unlike fractions
  • Adding  fractions and mixed numbers
  • Adding mixed numbers (unlike denominators)
  • Subtract unlike fractions
  • Subtract mixed numbers (unlike denominators)

Grade 6 fraction multiplication and division worksheets

  • Fractions multiplied by whole numbers
  • Fractions multiplied by fractions
  • Mixed numbers multiplied by fractions
  • Mixed numbers multiplied by mixed numbers
  • Whole numbers divided by fractions
  • Fractions divided by fractions
  • Mixed numbers divided by mixed nuymbers
  • Mixed multiplication or division practice

Grade 6 converting, simplifying and equivalent fractions worksheets

  • Convert improper fractions to / from mixed numbers
  • Simplify proper fractions
  • Simplify proper and improper fractions
  • Equivalent fractions (4 fractions)

Grade 6 fraction to / from decimals worksheets

  • Convert decimals to fractions, with simplification
  • Convert decimals to mixed numbers, with simplification
  • Convert fractions to decimals (denominators are 10 or 100)
  • Convert fractions to decimals (various denominators)
  • Convert mixed numbers to decimals (various denominators)

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Sample Fractions Worksheet

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Multiplying Fractions Questions

Practising multiplying fractions questions with solutions is essential to improve children’s skills in fractions. Multiplication of fractions is quite simple; to multiply two fractions, we just have to multiply numerator to numerator and denominator to the denominator. Unlike addition and subtraction of fractions, while multiplying fractions, we do not have to make the denominator the same.

Learn more about fractions .

Video Lesson on Like and Unlike Fractions

fraction problem solving question

Multiplying Fractions Questions with Solutions

Now let us solve questions on the multiplication of fractions.

Question 1:

Solve the following:

(ii) 9/7 × ⅜

(iii) ⅘ × ⅚

= (2 × 3)/(3 × 5)

= 6/15 reducing the fraction to the lowest form

= (9 × 3)/(7 × 8)

\(\begin{array}{l}=\frac{4}{\not{5}}\times \frac{\not{{5}}}{6}\end{array} \)

= 4/6 reducing the fraction to the lowest form

Question 2:

Simplify the following:

(i) 2½ × 3⅓

(ii) 3¼ × 5 2 / 9

(iii) 4 1 / 7 × 3 1 / 8

Converting the mixed fraction into the improper fraction

= 5/2 × 10/3

= 25/3 = 8⅓.

(ii) 3 1 / 4 × 5 2 / 9

= 13/4 × 47/9

= (13 × 47)/(4 × 9)

\(\begin{array}{l}=16\frac{35}{36}\end{array} \)

= 29/7 × 25/8

= (29 × 25)/(7 × 8)

\(\begin{array}{l}=12\frac{53}{56}\end{array} \)

Also, Refer:

  • Mixed to Improper Fractions
  • Mixed to Improper Fraction Calculator
  • Improper to Mixed Fraction Calculator

Question 3:

Work out the following and express them in the simplest form:

(i) 22/3 ÷ 11/5

(ii) 34/35 ÷ 6/7

(iii) 56/3 ÷ 9/17

Convert the division into multiplication by taking the reciprocal of the divisor fraction

= 22/3 × 5/11

= 34/35 × 7/6

\(\begin{array}{l}=1\frac{2}{15}\end{array} \)

= 56/3 × 17/9

\(\begin{array}{l}=35\frac{7}{27}\end{array} \)

Question 4:

(i) 26 × 1/13 ÷ 5/169

(ii) 6.4 × ⅘ ÷ ⅔

(iii) 2.98 ÷ ¾ × ⅖

According to the BODMAS rule, we first perform division followed by multiplication.

= 26 × (1/13 ÷ 5/169)

= 26 × (1/13 × 169/5)

= 26 × 13/5

\(\begin{array}{l}=67\frac{3}{5}\end{array} \)

= 64/10 × (⅘ ÷ ⅔)

= 64/10 × (⅘ × 3/2)

= 64/10 × 6/5

\(\begin{array}{l}=7\frac{17}{25}\end{array} \)

= (298/100 ÷ 3/4) × ⅖

= (298/100 × 4/3) × ⅖

= 298/(25 × 3) × ⅖

= 298/75 × ⅖

Question 5:

The length and the width of a rectangular park are 39/4 m and 25/3 m, respectively. Find the area of the park.

Length of the park = 39/4

Width of the park = 25/3

Area of the rectangular park = 39/4 × 25/3

= (13 × 25)/4 = 325/4 = 81.25 m 2 .

Question 6:

A household has an overhead water tank of 1000 litres. Every day 4/5th of the tank is used for household purposes. Find the amount of water needed for a week.

The capacity of the tank = 1000 litres

Amount of water used everyday = 4/5th of 1000 litres

= ⅘ × 1000 = 4 × 200 = 800 litres

Amount of water required for a week = 7 × 800 = 5600 litres.

Question 7:

A farmer plants the sapling of a plant at a uniform distance of 5/3 cm. If he plants 27 such saplings in a row, find the total distance between the first and the last sapling.

Distance between each sapling = 5/3 cm

Number of saplings in a row = 27

Distance between first and the last sapling = 5/3 × 27 = 5 × 9 = 45 cm.

Question 8:

The area of the triangle is 145/3 cm 2 . If the base length of the triangle is ⅔ cm, find the height of the triangle.

The base of the triangle = ⅔ cm

Area of the triangle = ½ × base × height = 145/3 cm 2

⇒ ½ × ⅔ × height = 145/3

⇒ height = 145/3 ÷ ⅓

⇒ height = 145/3 × 3 = 145 cm

Question 9:

Find the following:

(i) 2/5th of a day.

(ii) ¼th of a kilometre.

(iii) 3/4th of a year.

(i) 2/5th of a day

Now, 1 day = 24 hours

⅖ × 24 hours = 48/5

= 9.6 hours

= 9 hours 36 minutes.

(ii) ¼th of a kilometre

1 km = 1000 m

1 year = 12 months

3/4 × 12 = 9 months.

Question 10:

In a class of 60 students, two-thirds are boys. How many girls are there in the class?

Number of students = 60

Number of boys = 60 × ⅔ = 40

Number of girls = 60 – 40 = 20.

Practice Questions on Multiplying Fractions

1. Evaluate the following:

(ii) 4/7 × 9/21

(iii) 45/7 × 3½

(iv) 19 6 / 7 × 13½

(vi) 34/5 ÷ 6/7

(vii) 2 ÷ ⅘

(viii) ⅞ ÷ 13

(ix) ⅚ ÷ 9 6 / 5

(x) 12 × ¾ ÷ 1/2

2. Find the base of the triangle whose height is 4⅗ cm and the area is 28/35 cm 2 .

3. Three times more flour is needed to make a large cake than a small one. If 3⅕ kg flour is needed to make a large size cake, how much flour is needed to make a small size cake?

Keep visiting BYJU’S to get more such Maths lessons in a simple, concise and easy-to-understand way. Also, register at BYJU’S – The Learning App to get complete assistance for Maths preparation with video lessons, notes, tips and other study materials.

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Word Problems on Fraction

In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

1.  4/7 of a number is 84. Find the number. Solution: According to the problem, 4/7 of a number = 84 Number = 84 × 7/4 [Here we need to multiply 84 by the reciprocal of 4/7]

Word Problems on Fraction

= 21 × 7 = 147 Therefore, the number is 147.

2.  Rachel took \(\frac{1}{2}\) hour to paint a table and \(\frac{1}{3}\) hour to paint a chair. How much time did she take in all?

3. If 3\(\frac{1}{2}\) m of wire is cut from a piece of 10 m long wire, how much of wire is left?

Total length of the wire = 10 m

Fraction of the wire cut out = 3\(\frac{1}{2}\) m = \(\frac{7}{2}\) m

Length of the wire left = 10 m – 3\(\frac{1}{2}\) m

            = [\(\frac{10}{1}\) - \(\frac{7}{2}\)] m,    [L.C.M. of 1, 2 is 2]

            = [\(\frac{20}{2}\) - \(\frac{7}{2}\)] m,    [\(\frac{10}{1}\) × \(\frac{2}{2}\)]

            = [\(\frac{20 - 7}{2}\)] m

            = \(\frac{13}{2}\) m

            = 6\(\frac{1}{2}\) m

4. One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?

Fraction of girls studying in school = 1/2

Fraction of girls studying in lower classes = 3/5 of 1/2

                                                            = 3/5 × 1/2

                                                            = (3 × 1)/(5 × 2)

                                                            = 3/10

Therefore, 3/10 of girls studying in lower classes.

5.  Maddy reads three-fifth of 75 pages of his lesson. How many more pages he need to complete the lesson? Solution: Maddy reads = 3/5 of 75 = 3/5 × 75

Word Problems on Fraction

= 45 pages. Maddy has to read = 75 – 45. = 30 pages. Therefore, Maddy has to read 30 more pages. 6.  A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk each day. They give 24 litres milk in six days. How many cows are there in the herd? Solution: A herd of cows gives 4 litres of milk each day. Each cow gives one-third of total milk each day = 1/3 of 4 Therefore, each cow gives 4/3 of milk each day. Total no. of cows = 4 ÷ 4/3                          = 4 × ¾                          = 3 Therefore there are 3 cows in the herd.

Questions and Answers on Word problems on Fractions:

1. Shelly walked \(\frac{1}{3}\) km. Kelly walked \(\frac{4}{15}\) km. Who walked farther? How much farther did one walk than the other?

2. A frog took three jumps. The first jump was \(\frac{2}{3}\) m long, the second was \(\frac{5}{6}\) m long and the third was \(\frac{1}{3}\) m long. How far did the frog jump in all?

3. A vessel contains 1\(\frac{1}{2}\) l of milk. John drinks \(\frac{1}{4}\) l of milk; Joe drinks \(\frac{1}{2}\) l of milk. How much of milk is left in the vessel?

●   Multiplication is Repeated Addition.

●  Multiplication of Fractional Number by a Whole Number.

●  Multiplication of a Fraction by Fraction.

●  Properties of Multiplication of Fractional Numbers.

●  Multiplicative Inverse.

●  Worksheet on Multiplication on Fraction.

●  Division of a Fraction by a Whole Number.

●  Division of a Fractional Number.

●  Division of a Whole Number by a Fraction.

●  Properties of Fractional Division.

●  Worksheet on Division of Fractions.

●  Simplification of Fractions.

●  Worksheet on Simplification of Fractions.

●  Word Problems on Fraction.

●  Worksheet on Word Problems on Fractions.

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5th Grade Math Problems 

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Fraction Word Problems (Difficult)

Here are some examples of more difficult fraction word problems. We will illustrate how block models (tape diagrams) can be used to help you to visualize the fraction word problems in terms of the information given and the data that needs to be found.

Related Pages Fraction Word Problems Singapore Math Lessons Fraction Problems Using Algebra Algebra Word Problems

Block modeling (also known as tape diagrams or bar models) are widely used in Singapore Math and the Common Core to help students visualize and understand math word problems.

Example: 2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?

Solution: Draw a diagram with 9 equal parts: 2 parts to represent the adults and 7 parts to represent the children.

5 units = 95 1 unit = 95 ÷ 5 = 19 7 units = 7 × 19 = 133

Answer: There are 133 children in the restaurant.

Example: Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?

350 – 95 = 255 3 units = 255 1 unit = 255 ÷ 3 = 85 7 units = 85 × 7 = 595

Answer: Gary has $595 after shopping.

Example: 1/9 of the shirts sold at Peter’s shop are striped. 5/8 of the remainder are printed. The rest of the shirts are plain colored shirts. If Peter’s shop has 81 plain colored shirts, how many more printed shirts than plain colored shirts does the shop have?

Solution: Draw a diagram with 9 parts. One part represents striped shirts. Out of the remaining 8 parts: 5 parts represent the printed shirts and 3 parts represent plain colored shirts.

3 units = 81 1 unit = 81 ÷ 3 = 27 Printed shirts have 2 parts more than plain shirts. 2 units = 27 × 2 = 54

Answer: Peter’s shop has 54 more printed colored shirts than plain shirts.

Solve a problem involving fractions of fractions and fractions of remaining parts

Example: 1/4 of my trail mix recipe is raisins and the rest is nuts. 3/5 of the nuts are peanuts and the rest are almonds. What fraction of my trail mix is almonds?

How to solve fraction word problem that involves addition, subtraction and multiplication using a tape diagram or block model

Example: Jenny’s mom says she has an hour before it’s bedtime. Jenny spends 3/5 of the hour texting a friend and 3/8 of the remaining time brushing her teeth and putting on her pajamas. She spends the rest of the time reading her book. How long did Jenny read?

How to solve a four step fraction word problem using tape diagrams?

Example: In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second graders. If there are 96 students in the auditorium, how many second graders are there?

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24 Fraction Questions And Answers To Test Fractions Knowledge And Skills From KS2 to GCSE

Beki Christian

In this blog, we take a look at the sorts of skills pupils need to tackle fraction questions and fraction word problems, and then provide examples of the different sorts of fraction questions children are likely to encounter in KS2, KS3, and KS4.

Fractions key skills

Fraction questions, lower ks2 fraction questions, upper ks2 fraction questions, manipulating fractions questions, finding a fraction of an amount questions, calculating with fractions and mixed numbers questions, fractions, decimals and percentages questions, gcse fraction questions (foundation), gcse fraction questions (higher).

Some of the key fractions skills that pupils will learn are: 

  • How to find a fraction of an amount 
  • How to add fractions and how to subtract fractions  
  • Fraction, decimal, and percentage conversions 

Below we will touch on each of these skills and provide links to more detail and examples.

Fractions Intervention Pack

Fractions Intervention Pack

Try these lessons to help your pupils develop their knowledge and understanding of fractions.

How to find a fraction of an amount

To find a fraction of a value, we need to know how to multiply fractions and how to divide fractions . The process involves dividing the value by the denominator and then multiplying that answer by the numerator.

For example, find \cfrac{2}{5} \, of 30

First, we find \cfrac{1}{5} \, of 30, by dividing 30 by 5.

fraction questions amounts image 1

\cfrac{1}{5} \, of 30 = 30 \div 5 = 6

Next, we find \cfrac{2}{5} \, of 30 by multiplying the asnwer by 2.

fraction questions amounts image 2

\cfrac{2}{5} \, of 30 = 6 \times 2 = 12

How to add or subtract fractions with different denominators

To add and subtract fractions with different denominators, we need to rewrite the fractions with a common denominator. To do this, we look for the lowest common multiple (lcm) of the denominators.

Let’s look at an example: \cfrac{2}{5} + \cfrac{1}{4}

The lcm of 5 and 4 is 20, so we rewrite the fractions, using our knowledge of equivalent fractions , with a denominator of 20.

fraction questions add subtract 1

We can rewrite the first fraction as \cfrac{8}{20} \, and the second fraction as \cfrac{5}{20} \, .

Therefore \cfrac{2}{5} + \cfrac{1}{4}=\cfrac{8}{20}+\cfrac{5}{20}

Once we have the two fractions written with the same denominator, we can add the numerators. The denominator remains the same.

\cfrac{8}{20}+\cfrac{5}{20}=\cfrac{13}{20}

fraction questions add subtract 3

How to compare and convert fractions, decimals and percentages

Fractions are one way of measuring parts of a whole. Percentages and decimals are other ways of measuring parts of a whole. Pupils will first learn about key equivalences between the most common fractions, decimals and percentages, such as halves, quarters, and tenths. Later, in KS3, they will then learn methods for converting between any fractions, decimals, and percentages.

Here are some helpful visuals for the most common fractions, decimals, and percentages:

fraction questions fractions decimals percentages 1

There are a variety of fraction questions that might be asked in KS2, KS3, and KS4. Here we focus on fraction word problems and problem-solving questions which often provide the greatest challenge to pupils at primary school and secondary school.

At KS2, using real-world problems together with concrete resources or maths manipulatives is one of the best ways to help pupils visualise and understand what they are being asked to do.

In KS3 and KS4, word problems and problem solving questions can encourage students to think more deeply about about the processes and steps involved in a question.

Fractions in KS2

At the beginning of KS2, pupils will have an understanding of basic fractions, such as \cfrac{1}{2}, \cfrac{1}{4}, and \cfrac{3}{4}.

They will be able to write a fraction and find a fraction of a shape or a quantity. Over the course of KS2, they will spend a significant amount of time developing their knowledge of fractions. By the end of KS2, pupils will have covered:

  • Finding a fraction of a quantity
  • Equivalent fractions
  • Ordering and comparing fractions
  • Adding and subtracting fractions with the same denominator
  • Adding and subtracting fractions with different denominators
  • Multiplying fractions and dividing fractions by whole numbers and fractions
  • Improper fractions and mixed numbers (sometimes called mixed fractions)
  • Equivalences between fractions, decimal and percentages

Find out more: KS2 fractions : a teacher’s guide

A Third Space Learning online Year 5 lesson using equivalent fraction questions.

  • What Is A Unit Fraction: Explained For Primary School
  • What Is An Improper Fraction: Explained For Primary School
  • Fractions for Kids: A Comprehensive Guide
  • How To Teach Fractions Key Stage 2: Maths Bootcamp
  • Fraction games for KS1 and KS2

1. Natalie had 20 sweets. She ate \cfrac{1}{4} \, of them.

How many sweets did Natalie eat?

GCSE Quiz False

\cfrac{1}{4} \, of 20 = 20 \div 4 = 5

2. Osian had some money. He gave \cfrac{1}{5} of the money to Ethan. He gave \cfrac{2}{5} of the money to Ffion. What fraction of the money did he give away in total?

He gave away \cfrac{1}{5}+\cfrac{2}{5}=\cfrac{3}{5}

3. Choose the correct fraction to go in the box:

fraction questions lower KS2 1

4. There are 32 pupils in a class. \cfrac{3}{8} \, of the pupils are girls.

How many of the pupils are boys?

\cfrac{1}{8} \, of 32 = 32 \div 8 = 4

\cfrac{3}{8} \, of 32 = 4 \times 3=12, so there are 12 girls.

32-12=20, so there are 20 boys.

5. Which fraction is the odd one out?

fraction questions upper KS2 1

\cfrac{12}{13} \, is not equivalent to \cfrac{2}{3} \, so it is the odd one out.

6. Ben and Jacob both received the same amount of pocket money.

Ben spent \cfrac{3}{4} \, of his pocket money. Jacob spent \cfrac{13}{20} \, of his pocket money.

Choose the correct symbol to make this sentence correct.

fraction questions upper KS2 3

Therefore \cfrac{3}{4} > \cfrac{13}{20}

7. In a jug, there is \cfrac{2}{3} \, litre of juice.

Willow pours \cfrac{1}{5} \, litre of juice from the jug. What fraction of a litre is left in the jug?

\cfrac{2}{3}-\cfrac{1}{5} = \cfrac{10}{15}-\cfrac{3}{15} =\cfrac{7}{15}

8. Tim walked \cfrac{3}{7} \, of a mile each day, for 5 days.

How far did Tim walk in total?

5 \times \cfrac{3}{7} = \cfrac{15}{7} = 2 \cfrac{1}{7}

fraction questions upper KS2 5

9. April got 12 questions wrong on a test.

This was \cfrac{2}{5} \, of the questions.

How many questions were on the test?

\begin{aligned} \cfrac{2}{5}&=12\\\\ \cfrac{1}{5}&=12 \div 2 = 6\\\\ \cfrac{5}{5}&=6 \times 5 = 30 \end{aligned}

Looking for more KS2 fraction questions?

These fraction worksheets provide lots more fraction questions, covering both basic elements and more complex problems. Answers are also included:

  • Year 1 Fractions Independent Recap Worksheets 
  • Year 2 Unit Fractions Worksheet 
  • Year 3 Equivalent Fractions Worksheet 
  • Year 4 Subtract Fractions Worksheet 
  • Year 5 Fractions of Amounts Worksheet 
  • Year 6 Ordering Fractions, Decimals and Percentages Worksheet

Fractions in KS3

In KS3, pupils develop their confidence in working with fractions. They practise all of the skills learnt at KS2 and learn to apply these to a variety of problems. Fractions will be learnt about as a topic in their own right, but will also be increasingly embedded into other areas of maths, such as algebra and geometry, as pupils progress through KS3.

10. The ratio of men:women working in a company is 3:5. What fraction of the workers are men?

For every 3 men, there are 5 women. Therefore in a total of 8 people, there are 3 men. The fraction of the workers who are men is \cfrac{3}{8} \, .

11. Ellie says that \cfrac{14}{6}=2\cfrac{1}{3} \, .

Is Ellie correct?

Explain how you know.

We can’t tell

2 \cfrac{1}{3} \,= \cfrac{2 \times 3 +1}{3} \, = \cfrac{7}{3}

\cfrac{7}{3} = \cfrac{14}{6}

12. 2400 people attended a concert. \cfrac{3}{8} \, of the people were men.

\cfrac{5}{12} \, of the people were women. The rest of the people were children.   How many children were at the concert?

\cfrac{3}{8} \, of 2400

2400 \div 8 =300

300 \times 3=900

   

\cfrac{5}{12} \, of 2400

2400 \div 12 =200

200 \times 5=1000

2400-900-1000=500

13. In January the value of a house was £280000.

By August, the value of the house had decreased by \cfrac{1}{10} \, .

Find the value of the house in August.

\cfrac{1}{10} \, of 280000

280000 \div 10=28000

280000-28000=252000

14. Richard wants to calculate \cfrac{5}{8} \div \cfrac{4}{5} \, . Select the correct method.

15. Here is a signpost.

fraction questions mixed numbers

What is the distance from Tresaith to Aberporth?

\begin{aligned} 1\cfrac{1}{4} + 3\cfrac{2}{3} &= \cfrac{5}{4}+\cfrac{11}{3}\\\\ &= \cfrac{15}{12} +\frac{44}{12}\\\\ &=\cfrac{59}{12}\\\\ &=4\cfrac{11}{12} \end{aligned}

16. Frank scored 32 out of 40 in a test. What percentage of the questions did Frank answer correctly?

\cfrac{32}{40}=\cfrac{8}{10}=80\%

17. Write 2.35 as an improper fraction.

Give your answer in its simplest form.

2.35= \cfrac{235}{100}

Simplifying \cfrac{235}{100} gives us \cfrac{47}{20}

Ensure you follow the instructions carefully and give your answer as an improper fraction in its simplest form.

Fractions in KS4 and for GCSE

In KS4, students continue to develop their fluency in using fractions to solve problems and will be required to apply their knowledge of fractions within many different maths topics. GCSE maths papers, from all exam boards (including AQA, Edexcel and OCR) will, almost certainly, contain questions involving fractions.

These may appear as standard procedural questions, such as calculate 2\cfrac{1}{4} \times 3\cfrac{2}{3} \,. It is also likely that there will be questions from other areas of maths, such as algebra, geometry, and probability, which involve fractions.

Take a look at our GCSE maths guides on fractions :

  • Adding and subtracting fractions
  • Dividing fractions
  • Fractions of amounts
  • Fractions, decimals, and percentages 
  • Improper fraction to mixed number

18. Write these fractions in order of size, starting with the smallest.

\cfrac{2}{5} \hspace{.5cm} \cfrac{3}{8} \hspace{.5cm} \cfrac{3}{10} \hspace{.5cm} \cfrac{9}{20}

\cfrac{2}{5} \, =\cfrac{16}{40}

\cfrac{3}{8} \, =\cfrac{15}{40}

\cfrac{3}{10} \, =\cfrac{12}{40}

\cfrac{9}{20} \, =\cfrac{18}{40}

\cfrac{12}{40}, \, \cfrac{15}{40} , \, \cfrac{16}{40}, \, \cfrac{18}{40}

\cfrac{3}{10}, \, \cfrac{3}{8} , \, \cfrac{2}{5}, \, \cfrac{9}{20}

19. Work out the perimeter of this rectangle. Give your answer as a mixed number in its simplest form.

fraction questions foundation gcse 1

\begin{aligned} 1 \cfrac{1}{3} \, + 1 \cfrac{1}{3} \, + \cfrac{3}{8} \, + \cfrac{3}{8} &= \cfrac{4}{3} + \cfrac{4}{3} \, + \cfrac{3}{8} \, +\cfrac{3}{8}\\\\ &=\cfrac{32}{24} \, + \cfrac{32}{24} \, + \cfrac{9}{24} \, +\cfrac{9}{24}\\\\ &=\cfrac{82}{24}\\\\ &= \cfrac{41}{12}\\\\ &=3 \cfrac{5}{12} \end{aligned}

20. Here are the first three terms of a sequence:

\cfrac{2}{3}, \, \cfrac{4}{9}, \, \cfrac{8}{27}

The rule to find the next term in the sequence is multiply by \cfrac{2}{3} \, .

Find the 5th term in the sequence.

\cfrac{8}{27} \, \times \cfrac{2}{3} = \cfrac{16}{81}

\cfrac{16}{81} \, \times \cfrac{2}{3} = \cfrac{32}{243}

21. On a farm, the ratio of white sheep:black sheep is 3 \, \text{:} \, 1.   \cfrac{2}{3} \, of the white sheep are ewes. \cfrac{2}{5} \, of the black sheep are ewes.   There are 144 ewes on the farm. How many sheep are there on the farm in total?

\cfrac{3}{4} \, of the sheep are white. \cfrac{2}{3} \, \times \cfrac{3}{4} \, = \cfrac{6}{12} \, of the sheep are white ewes.

\cfrac{1}{4} \, of the sheep are black. \cfrac{2}{5} \, \times \cfrac{1}{4} \, = \cfrac{2}{20} \, of the sheep are black ewes.

\cfrac{6}{12} \, +\cfrac{2}{20} \, =\cfrac{30}{60} \, +\cfrac{6}{60} \, =\cfrac{36}{60}

\cfrac{36}{60} \, of the sheep are ewes.

\cfrac{36}{60}=144

\cfrac{1}{60} \, =144 \div 36=4

\cfrac{60}{60} \, = 4 \times 60=240

22. Write \cfrac{3}{x-2}-\cfrac{5}{x+4} as a single fraction, in its simplest form.

\begin{aligned} \cfrac{3}{x-2}\,-\cfrac{5}{x+4} \, &=\cfrac{3(x+4)}{(x+4)(x-2)}\,-\cfrac{5(x-2)}{(x+4)(x-2)}\\\\ &=\cfrac{3x+12-(5x-10)}{(x+4)(x-2)}\\\\ &=\cfrac{-2x+2}{(x+4)(x-2)} \end{aligned}

23. Find the value of \cfrac{ab^{2}}{c} when a=-2, \, b=\cfrac{3}{8} \, and c=\cfrac{1}{4}.

\begin{aligned} \cfrac{ab^{2}}{c} \, &=\cfrac{-2 \times (\cfrac{3}{8})^{2}}{\cfrac{1}{4}}\\\\ &=\cfrac{-2 \times \cfrac{9}{64}}{\cfrac{1}{4}}\\\\ &=\cfrac{-\cfrac{18}{64}}{\cfrac{1}{4}}\\\\ &=-\cfrac{18}{64} \, \times \cfrac{4}{1}\\\\ &=-\cfrac{72}{64}\\\\ &=-\cfrac{9}{8} \end{aligned}

24. Express 0.2\dot{8}\dot{1} as a fraction.

\begin{aligned} x&=0.281818181…\\\\ 10x&=2.81818181…\\\\ 1000x&=281.818181…\\\\ 990x&=279\\\\ x&=\cfrac{279}{990}\\\\ x&=\cfrac{31}{110} \end{aligned}

Looking for more KS3 and KS4 fraction questions?

These GCSE maths worksheets provide lots more fraction questions with answers included:

  • Subtracting Fractions Worksheet
  • Fractions Decimals and Percentages Worksheet
  • Equivalent Fractions Worksheet
  • Fractions of Amounts Worksheet
  • Mixed Numbers to Improper Fractions Worksheet

More GCSE fraction support

Third Space Learning’s free GCSE maths resource library contains detailed lessons with step-by-step instructions on how to solve fraction problems at secondary, as well as fraction worksheets with practice questions and more GCSE exam questions.

Fraction questions FAQs

A fraction of an amount at GCSE is when we are asked to find a certain fraction of an amount, for example \cfrac{3}{5} \, of 20. To do this, we divide by the denominator and then multiply by the numerator. 20\div 5 = 4 4 \times 3 =12 So \cfrac{3}{5} of 20=12.

An example of a fraction is \cfrac{3}{10}. This is read as ‘three tenths’ and means thee out of every ten. You may see different types of fractions: Unit fractions have a numerator of 1, for example \cfrac{1}{8} \, . Proper fractions have a numerator that is smaller than the denominator, for example \cfrac{3}{4} \, . Improper fractions have a numerator that is greater than the denominator, for example \cfrac{5}{2} \, . Mixed number fractions (mixed fractions) are made up of a whole number and a fraction, for example 2\cfrac{1}{3} \, .

When pupils learn how to simplify fractions we look for common factors of the numerator and the denominator. If there are common factors, we divide both the numerator and the denominator by the common factor to find an equivalent, simpler fraction. We continue doing this until there are no more common factors. For example, simplify \cfrac{20}{40} \, . 10 is a common factor of 20 and 40. Dividing both 20 and 40 by 10 gives us \cfrac{2}{4} \, . 2 is a common factor of 2 and 4. Dividing both 2 and 4 by 2 gives us \cfrac{1}{2} \, . There are no more common factors of 1 and 2, so we cannot simplify any further.

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Exploring Fractions

  • The first group  gives you some starting points to explore with your class, which are applicable to a wide range of ages.  The tasks in this first group will build on children's current understanding of fractions and will help them get to grips with the concept of the part-whole relationship. 
  • The second group of tasks  focuses on the progression of ideas associated with fractions, through a problem-solving lens.  So, the tasks in this second group are curriculum-linked but crucially also offer opportunities for learners to develop their problem-solving and reasoning skills.   

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  • are applicable to a range of ages;
  • provide contexts in which to explore the part-whole relationship in depth;
  • offer opportunities to develop conceptual understanding through talk.

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Worded fraction question - involves some problem solving

Worded fraction question - involves some problem solving

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

ascj20

Last updated

9 January 2015

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How One Family Lost $900,000 in a Timeshare Scam

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COMMENTS

  1. Fraction Worksheets

    Worksheet. Example. Fractions (Same Denominator) 1 5 × 2 5. Unit Fractions. 1 3 × 1 9. Easy Proper Fractions. 3 8 × 2 7. Harder Proper Fractions.

  2. Fractions Questions and Problems with Solutions

    Questions and problems with solutions on fractions are presented. Detailed solutions to the examples are also included. In order to master the concepts and skills of fractions, you need a thorough understanding (NOT memorizing) of the rules and properties and lot of practice and patience. I hope the examples, questions, problems in the links ...

  3. Fractions Questions

    While dividing one fraction by another fraction, we multiply the first fraction by the reciprocal of the other. 5. Multiply the following fractions. (i) (⅖) × 5 ¼. (ii) 2 ⅗ × 3. Solution: (i) (⅖) × 5 ¼. Here, 5 ¼ is a mixed fraction. Let us convert this mixed fraction into an improper fraction.

  4. Word Problems with Fractions

    Word problems with fractions: involving a fraction and a whole number. Finally, we are going to look at an example of a word problem with a fraction and a whole number. Now we will have to convert all the information into a fraction with the same denominator (as we did in the example above) in order to calculate. This morning Miguel bought 1 ...

  5. Fraction Worksheets

    The best source for free math worksheets. Printable or interactive. Easier to grade, more in-depth and 100% FREE! Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade and more!

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    Identify your areas for growth in these lessons: Dividing fractions by fractions. Dividing fractions word problems. Start quiz. Unit test. Test your understanding of Fractions with these NaN questions. Start test. In this topic, we will explore fractions conceptually and add, subtract, multiply, and divide fractions.

  7. Fraction Word Problems Worksheets

    Presented here are the fraction pdf worksheets based on real-life scenarios. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form. Download the set. Represent and Simplify the Fractions: Type 2. Before representing in fraction, children should perform addition or subtraction to solve ...

  8. 3 Ways to Solve Fraction Questions in Math

    To add fractions, they must have the same denominator. If they do, simply add the numerators together. [2] For instance, to solve 5/9 + 1/9, just add 5 + 1, which equals 6. The answer, then, is 6/9 which can be reduced to 2/3. 2. Subtract fractions with the same denominator by subtracting the numerators.

  9. Fraction Word Problems Worksheet and Solutions

    Solving fraction word problems involves understanding the problem, identifying what is given, determining what needs to be found, and then applying appropriate fraction operations and problem-solving strategies. ... For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution ...

  10. Simplify fractions (practice)

    Write 28 63 in simplest form. 5:51. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

  11. Fractions

    Use this quiz to check your grade 4 to 6 students' understanding of fractions. 10+ questions with answers covering a range of 4th, 5th and 6th grade topics to identify areas of strength and support! ... Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, for example, by using ...

  12. Fractions worksheets for grades 1-6

    Grade 4: Fraction worksheets. Fractions to decimals. Grade 5: Fraction addition and subtraction. Fraction multiplication and division. Converting fractions, equivalent fractions, simplifying fractions. Fraction to / from decimals. Grade 6:

  13. Fractions Operations

    Multiplying and dividing fractions means using multiplication and division to calculate with fractions. Fraction multiplication and division can be solved using models or an algorithm. For example, Using models: In the model, \, \cfrac{2}{3} \, is yellow and \, \cfrac{1}{2} \, is blue. The product is where the fractions overlap in green.

  14. Problem Solving using Fractions (Definition, Types and Examples

    A mixed number or a mixed fraction is a type of fraction which is a combination of both a whole number and a proper fraction. We express improper fractions as mixed numbers. For example, 5\(\frac{1}{3}\), 1\(\frac{4}{9}\), 13\(\frac{7}{8}\) are mixed fractions. Unit fraction. A unit fraction is a fraction with a numerator equal to one.

  15. Multiplying Fractions Questions with Solutions

    Multiplying fractions questions are given here with solutions for practice. Visit BYJU'S to learn multiplying fractions by solving questions with video lessons and many more study resources. ... Now let us solve questions on the multiplication of fractions. Question 1: Solve the following: (i) ⅔ × ⅗ (ii) 9/7 × ⅜ (iii) ⅘ × ⅚ ...

  16. Word Problems on Fraction

    In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers. 1. 4/7 of a number is 84. Find the number. Solution: According to the problem, 4/7 of a number = 84. Number = 84 × 7/4.

  17. Fraction Word Problems (Difficult)

    Solution: Draw a diagram with 9 equal parts: 2 parts to represent the adults and 7 parts to represent the children. 5 units = 95. 1 unit = 95 ÷ 5 = 19. 7 units = 7 × 19 = 133. Answer: There are 133 children in the restaurant. Example: Gary and Henry brought an equal amount of money for shopping.

  18. 24 Fraction Questions And Answers For KS2 To GCSE

    In KS3 and KS4, word problems and problem solving questions can encourage students to think more deeply about about the processes and steps involved in a question. Fractions in KS2 At the beginning of KS2, pupils will have an understanding of basic fractions, such as \cfrac{1}{2}, \cfrac{1}{4}, and \cfrac{3}{4}.

  19. Fraction of Amounts Practice Questions

    Next: Fractions - Finding Original Practice Questions GCSE Revision Cards. 5-a-day Workbooks

  20. Exploring Fractions

    Exploring Fractions. Introduction. At NRICH, our aim is to offer rich tasks which develop deep understanding of mathematical concepts. Of course, by their very nature, rich tasks will also provide opportunities for children to work like a mathematician and so help them develop their problem-solving skills alongside this conceptual understanding.

  21. Free Math Worksheets

    Khan Academy's 100,000+ free practice questions give instant feedback, don't need to be graded, and don't require a printer. Math Worksheets. Khan Academy. Math worksheets take forever to hunt down across the internet. Khan Academy is your one-stop-shop for practice from arithmetic to calculus. Math worksheets can vary in quality from ...

  22. GCSE (9-1) Maths

    Numbers Fractions Geometry and Measures Fraction problems Area and Perimeter Circles, Sectors and Arcs. Question. Answer. Difficulty Level: Medium. Solve in: 2 min 30 sec. Use Calculator: Yes.

  23. Worded fraction question

    Subject: Mathematics. Age range: 11-14. Resource type: Worksheet/Activity. File previews. doc, 70 KB. Answers are also included. See more. to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

  24. ‎StudyAId

    StudyAId can help you solve problems from various subjects including mathematics, languages, physics, chemistry, biology, history, and more. It has wide coverage. Operating Procedure: 1.Click the photo button to enter the shooting page. 2.Place the question to be identified in the recognition frame and adjust the frame freely after taking the ...

  25. How One Family Lost $900,000 in a Timeshare Scam

    Ronna McDaniel, TV News and the Trump Problem. How One Family Lost $900,000 in a Timeshare Scam A Mexican drug cartel is targeting seniors and their timeshares. April 12, 2024.