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Adding Fractions Worksheets

Part of the reason why our printable fraction addition worksheets are a must-have set is they help kids surefootedly if not instantly obtain proficiency in finding the sum of unit fractions, proper and improper fractions, and mixed numbers. Featured here are exclusive resources on adding unit fractions, making a whole, finding the missing fractions, and finding the variables on fractions. This compilation of adding fractions worksheets is ideal for 3rd grade, 4th grade, 5th grade, and 6th grade students. Access some of these worksheets for free.

» Adding Fractions using a Number Line

» Adding Like Fractions

» Adding Fractions with Whole Numbers

» Adding Unlike Fractions

» Adding Mixed Numbers

» Adding Three Fractions

» Adding Fractions Word Problems

Adding Fractions using Number Lines

Adding Fractions using Number Lines

Number line models are top-notch tools that teachers rely on to introduce fraction addition to children. Grab these pdf worksheets to recognize the addends, draw hops, find the sum, all using number line diagrams.

(80 Worksheets)

Making a Whole - Pie

Making a Whole - Pie

For students in grade 3, fraction manipulatives are the pathway to in-depth understanding of adding fractions. They zero in on the shaded parts of the figures and identify fractional pairs that make a whole.

pdf 1

Making a Whole - Grid

Colored grids represent a whole partitioned into several equal parts. Identify each square as one part of a whole and determine the proper fraction that adds up with the given fraction to make a 1.

printable 1

Missing Like Fractions - All Fractions

Bringing fraction subtraction into play, this set grabs kids' imagination right away. Plug in the missing fractions by subtracting the addend given as proper/improper fraction or mixed number from the sum.

worksheet 1

Missing Variables - Like Fractions

Move on from numerical to algebraic equations! Rearrange the equations, isolate the variable, add or subtract the fractions, and solve for the value of the variable. Kids will sure hit it off with this practice tool!

practice 1

Adding Unit Fractions - Proper

Recognizing unit fractions as fractions with 1 in the numerator is the key to quickly and conversantly finding the sum of two such fractions. Cross-multiply the unit fractions and figure out the sum.

exercise 1

Missing Unlike Fractions - All Fractions

One of the two addends is missing in the addition equation. Grade 4 kids work with a mixture of fractions with unlike denominators and solve for the unknown fraction or mixed number. A good dose of math intrigue!

pdf 4

Missing Variables - Unlike Fractions

Stay a great step ahead of your fractionally well-to-do peers with these pdf worksheets for grade 5 and grade 6! Make the unknown variable the subject of the equation, and solve. A pdf that clamors for attention!

printable 4

Adding Unit Fractions - Mixed Numbers

These fraction addition pdf worksheets are abounding in mixed numbers with unit fractions in the fractional parts. Convert them to fractions, add equivalent like fractions, add them, and simplify.

Circle the Fractions

Circle the Fractions

With this fraction addition exercise, making a whole no longer feels like an unwelcome chore for kids in 3rd grade and 4th grade! Here's some great practice in circling a pair of fractions that add up to unity.

Adding Unit Fractions - Mixed Review

Adding Unit Fractions - Mixed Review

Students in grade 4 and grade 5 must be twice as happy, for these printable adding fractions worksheets give them access to a review of adding unit fractions and mixed numbers involving unit fractions!

Adding Like Fractions Worksheets

Adding Like Fractions Worksheets

Navigate through this bunch of printable adding like fractions worksheets to be an accomplished master of adding fractions with like denominators! Use the variety of levels to gradually upgrade!

(43 Worksheets)

Adding Fractions with Whole Numbers Worksheets

Adding Fractions with Whole Numbers Worksheets

Count on the wealth of practice in our pdf worksheets to train students to add proper and improper fractions with whole numbers. Multiply the whole number by the denominator; sum up the product with the numerator.

(16 Worksheets)

Adding Unlike Fractions Worksheets

Adding Unlike Fractions Worksheets

Page through these adding unlike fractions worksheets for fluency in adding two proper and improper fractions with different denominators! Prove you're second to none in finding the missing addend, too!

Adding Mixed Numbers Worksheets

Adding Mixed Numbers Worksheets

With this exciting, myriad collection of pdf adding mixed fractions worksheets, you're sure to become more than just competent at adding mixed numbers and mixed numbers with proper and improper fractions.

(74 Worksheets)

Adding Three Fractions Worksheets

Adding Three Fractions Worksheets

Is adding three fractions in any way different from or trickier than adding two fractions? Delve into these pdf worksheets and explore the steps involved in performing addition of 3 like and unlike fractions!

(30 Worksheets)

Adding Fractions Word Problems Worksheets

Adding Fractions Word Problems Worksheets

Get children used to adding fractions and mixed numbers in real life by gifting them our printable worksheets here. Stocked with various lifelike situations, this set is for sure a big hit among kids!

(15 Worksheets)

Related Worksheets

» Fraction Subtraction

» Multiplying Fractions

» Fraction Division

» Fraction Word Problems

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Fractions Worksheets

Welcome to the fractions worksheets page at Math-Drills.com where the cup is half full! This is one of our more popular pages most likely because learning fractions is incredibly important in a person's life and it is a math topic that many approach with trepidation due to its bad rap over the years. Fractions really aren't that difficult to master especially with the support of our wide selection of worksheets.

This page includes Fractions worksheets for understanding fractions including modeling, comparing, ordering, simplifying and converting fractions and operations with fractions. We start you off with the obvious: modeling fractions. It is a great idea if students can actually understand what a fraction is, so please do spend some time with the modeling aspect. Relating modeling to real life helps a great deal too as it is much easier to relate to half a cookie than to half a square. Ask most students what you get if you add half a cookie and another half a cookie, and they'll probably let you know that it makes one delicious snack.

The other fractions worksheets on this page are devoted to helping students understand the concept of fractions. From comparing and ordering to simplifying and converting... by the time students master the material on this page, operations of fractions will be a walk in the park.

Most Popular Fractions Worksheets this Week

Adding and Subtracting Mixed Fractions

General Use Fractions Printables

Fraction circles.

fractions worksheets adding

Fraction circle manipulatives are mainly used for comparing fractions, but they can be used for a variety of other purposes such as representing and identifying fractions, adding and subtracting fractions, and as probability spinners. There are a variety of options depending on your purpose. Fraction circles come in small and large versions, labeled and unlabeled versions and in three different color schemes: black and white, color, and light gray. The color scheme matches the fraction strips and use colors that are meant to show good contrast among themselves. Do note that there is a significant prevalence of color-blindness in the population, so don't rely on all students being able to differentiate the colors.

Suggested activity for comparing fractions: Photocopy the black and white version onto an overhead projection slide and another copy onto a piece of paper. Alternatively, you can use two pieces of paper and hold them up to the light for this activity. Use a pencil to represent the first fraction on the paper copy. Use a non-permanent overhead pen to represent the second fraction. Lay the slide over the paper and compare the two circles. You should easily be able to tell which is greater or lesser or if the two fractions are equal. Re-use both sheets by erasing the pencil and washing off the marker.

Adding fractions with fraction circles will involve two copies on paper. Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work.

Fraction Strips

fractions worksheets adding

Fractions strips are often used for comparing fractions. Students are able to see quite easily the relationships and equivalence between fractions with different denominators. It can be quite useful for students to have two copies: one copy cut into strips and the other copy kept intact. They can then use the cut-out strips on the intact page to individually compare fractions. For example, they can use the halves strip to see what other fractions are equivalent to one-half. This can also be accomplished with a straight edge such as a ruler without cutting out any strips. Pairs or groups of strips can also be compared side-by-side if they are cut out. Addition and subtraction (etc.) are also possibilities; for example, adding a one-quarter and one-third can be accomplished by shifting the thirds strip so that it starts at the end of one-quarter then finding a strip that matches the end of the one-third mark (7/12 should do it).

Teachers might consider copying the fraction strips onto overhead projection acetates for whole class or group activities. Acetate versions are also useful as a hands-on manipulative for students in conjunction with an uncut page.

The "Smart" Fraction Strips include strips in a more useful order, eliminate the 7ths and 11ths strips as they don't have any equivalents and include 15ths and 16ths. The colors are consistent with the classic versions, so the two sets can be combined.

Modeling Fractions Worksheets

Besides using the worksheets below, you can also try some more interesting ways of modeling fractions. Healthy snacks can make great models for fractions. Can you cut a cucumber into thirds? A tomato into quarters? Can you make two-thirds of the grapes red and one-third green?

Modeling fractions with groups of shapes

fractions worksheets adding

Fractions can represent parts of a group or parts of a whole. In these worksheets, fractions are modeled as parts of a group.

Modeling fractions with rectangles

fractions worksheets adding

Modeling fractions with circles

fractions worksheets adding

Ratio and Proportion Worksheets

Picture ratios.

fractions worksheets adding

More picture ratios can be found on holiday and seasonal pages. Try searching for picture ratios to find more.

Equivalent fractions

fractions worksheets adding

The equivalent fractions models worksheets include only the "baking fractions" in the A versions. To see more difficult and varied fractions, please choose the B to J versions after loading the A version.

Equivalent ratios

fractions worksheets adding

Comparing & Ordering Fractions Worksheets

Comparing simple fractions.

fractions worksheets adding

There are many different strategies other than staring at the page that will help in comparing fractions. Try starting with something visual that will depict the fractions in question. We highly recommend our fraction strips (scroll up a bit). Using a straight edge like a ruler or book or folding will help students to easily see which fraction is greater or if they are equal. We should also mention that the things that are compared should be the same. Each fraction strip for example is the same size whereas if you took a third of a watermelon and half of a grape, the watermelon would probably win out.

Comparing Simple and Improper Fractions

fractions worksheets adding

Another strategy to use when comparing fractions is to use a number line and to use benchmarks like 0, 1, 1/2 to figure out where each fraction goes then see which one is bigger. Students actually do this one all the time since they can often compare fractions by recognizing that one is less than half and the other is greater than half. They might also see that one fraction is much closer to a whole than another fraction even though they might both be greater than a half.

Comparing Simple, Improper and Mixed Fractions

fractions worksheets adding

Another strategy for comparing fractions is to convert each fraction to a decimal and compare the decimals. Decimal conversions can be memorized (especially for the common fractions) calculated with long division or using a calculator or look-up table. We suggest the latter since using a look-up table often leads to mental recall.

Ordering fractions on a Number Line

fractions worksheets adding

Many of the same strategies that work for comparing fractions also work for ordering fractions. Using manipulatives such as fraction strips, using number lines, or finding decimal equivalents will all have your student(s) putting fractions in the correct order in no time. We've probably said this before, but make sure that you emphasize that when comparing or ordering fractions, students understand that the whole needs to be the same. Comparing half the population of Canada with a third of the population of the United States won't cut it. Try using some visuals to reinforce this important concept. Even though we've included number lines below, feel free to use your own strategies.

Ordering fractions

fractions worksheets adding

The ordering fractions worksheets in this section do not include a number line, to allow for students to use various sorting strategies.

Simplifying & Converting Fractions Worksheets

Rounding fractions.

fractions worksheets adding

Rounding fractions helps students to understand fractions a little better and can be applied to estimating answers to fractions questions. For example, if one had to estimate 1 4/7 × 6, they could probably say the answer was about 9 since 1 4/7 is about 1 1/2 and 1 1/2 × 6 is 9.

Simplifying fractions

fractions worksheets adding

Learning how to simplify fractions makes a student's life much easier later on when learning operations with fractions. It also helps them to learn that different-looking fractions can be equivalent. One way of demonstrating this is to divide out two equivalent fractions. For example 3/2 and 6/4 both result in a quotient of 1.5 when divided. By practicing simplifying fractions, students will hopefully recognize unsimplified fractions when they start adding, subtracting, multiplying and dividing with fractions.

Converting between improper and mixed fractions

fractions worksheets adding

Converting between fractions, decimals, percents, and ratios

fractions worksheets adding

Operations with Fractions Worksheets

Multiplying fractions.

fractions worksheets adding

Multiplying fractions is usually less confusing operationally than any other operation and can be less confusing conceptually if approached in the right way. The algorithm for multiplying is simply multiply the numerators then multiply the denominators. The magic word in understanding the multiplication of fractions is, "of." For example what is two-thirds OF six? What is a third OF a half? When you use the word, "of," it gets much easier to visualize fractions multiplication. Example: cut a loaf of bread in half, then cut the half into thirds. One third OF a half loaf of bread is the same as 1/3 x 1/2 and tastes delicious with butter.

Dividing Fractions

fractions worksheets adding

Conceptually, dividing fractions is probably the most difficult of all the operations, but we're going to help you out. The algorithm for dividing fractions is just like multiplying fractions, but you find the inverse of the second fraction or you cross-multiply. This gets you the right answer which is extremely important especially if you're building a bridge. We told you how to conceptualize fraction multiplication, but how does it work with division? Easy! You just need to learn the magic phrase: "How many ____'s are there in ______? For example, in the question 6 ÷ 1/2, you would ask, "How many halves are there in 6?" It becomes a little more difficult when both numbers are fractions, but it isn't a giant leap to figure it out. 1/2 ÷ 1/4 is a fairly easy example, especially if you think in terms of U.S. or Canadian coins. How many quarters are there in a half dollar?

Adding Fractions

fractions worksheets adding

Adding fractions requires the annoying common denominator. Make it easy on your students by first teaching the concepts of equivalent fractions and least common multiples. Once students are familiar with those two concepts, the idea of finding fractions with common denominators for adding becomes that much easier. Spending time on modeling fractions will also help students to understand fractions addition. Relating fractions to familiar examples will certainly help. For example, if you add a 1/2 banana and a 1/2 banana, you get a whole banana. What happens if you add a 1/2 banana and 3/4 of another banana?

Adding Mixed Fractions Worksheets

fractions worksheets adding

A common strategy to use when adding mixed fractions is to convert the mixed fractions to improper fractions, complete the addition, then switch back. Another strategy which requires a little less brainpower is to look at the whole numbers and fractions separately. Add the whole numbers first. Add the fractions second. If the resulting fraction is improper, then it needs to be converted to a mixed number. The whole number portion can be added to the original whole number portion.

Subtracting Fractions

fractions worksheets adding

There isn't a lot of difference between adding and subtracting fractions. Both require a common denominator which requires some prerequisite knowledge. The only difference is the second and subsequent numerators are subtracted from the first one. There is a danger that you might end up with a negative number when subtracting fractions, so students might need to learn what is means in that case. When it comes to any concept in fractions, it is always a good idea to relate it to a familiar or easy-to-understand situation. For example, 7/8 - 3/4 = 1/8 could be given meaning in the context of a race. The first runner was 7/8 around the track when the second runner was 3/4 around the track. How far ahead was the first runner? (1/8 of the track).

Subtracting Mixed Fractions Worksheets

fractions worksheets adding

Various Operations Fractions Worksheets

Mixing up the signs on operations with fractions worksheets makes students pay more attention to what they are doing and allows for a good test of their skills in more than one operation.

Adding and subtracting fractions

fractions worksheets adding

Multiplying and dividing fractions

fractions worksheets adding

Mixed operations with fractions

fractions worksheets adding

Operations with Negative fractions

fractions worksheets adding

Although some of these worksheets are single operations, it should be helpful to have all of these in the same location. There are some special considerations when completing operations with negative fractions. It is usually very helpful to change any mixed numbers to an improper fraction before proceeding. It is important to pay attention to the signs and know the rules for multiplying positives and negatives (++ = +, +- = -, -+ = - and -- = +).

Order of Operations with Fractions Worksheets

Order of operations with fractions.

fractions worksheets adding

The order of operations worksheets in this section actually reside on the Order of Operations page, but they are included here for your convenience..

Order of operations with decimals & fractions mixed

fractions worksheets adding

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Add & Subtract Fractions for Grade 5

Add & subtract like and unlike fractions.

These grade 5 worksheets provide practice in adding and subtracting fractions with both like and unlike denominators .

fractions worksheets adding

Sample Grade 5 Adding Fractions Worksheet

More fractions worksheets

Explore all of our fractions worksheets , from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers.

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Adding Fractions Worksheets

Welcome to our Adding Fractions Worksheets page. We have a range of worksheets designed to help students learn to add two fractions together.

Our sheets range in difficulty from easier supported sheets with like denominators to harder sheets with different denominators and three fractions to add.

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Adding Fractions with Like Denominators Quiz

How to Add Fraction s

Here you will find support pages and our adding fraction calculator to help you to learn about how to add fractions.

Formula for adding two fractions

\[{a \over b} + {c \over d} = {ad + bc \over bd} \]

how to add fractions image

Adding Fractions Calculator image

Here you will find a selection of Fraction worksheets designed to help your child practice how to add two or three fractions.

The sheets are carefully graded so that the easiest sheets come first, and the most difficult sheet is the last one.

Next to each sheet is a description of the math skills involved.

Using these sheets will help your child to:

These skills and worksheets are aimed at 3rd through to 7th grade.

The easiest sheets with like denominators are suitable for 3rd graders (sheet 1)

The hardest sheets with adding 3 fractions with different denominators are more suitable for 7th graders.

Adding Fractions (like denominators) Worksheets

If you are looking to add fractions which have the same denominator, take a look at our sheets below.

Like Denominators

Sheet 1: the easiest sheet, no simplifying or converting needed.

Sheet 2: Fractions need adding then simplifying.

Sheet 3: fractions need simplifying and/or converting from an improper fraction into a mixed number.

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

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If the error message 'File Unavailable' should appear in a pop-up window with a 'RELOAD' option in the bottom right corner of the screen:

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at adding fractions with like denominators.

Adding Fractions (unlike denominators) Worksheets

Sheet 1: easy to convert denominators with one denominator a multiple of the other; no simplifying or converting needed

Sheet 2: easy to convert denominators with one denominator a multiple of the other; simplifying needed but no converting

Sheet 3: easy to convert denominators with one denominator a multiple of the other; simplifying needed and converting to mixed numbers

Sheet 4: harder to convert denominators - supported sheet; no simplifying or converting needed

Sheet 5: harder to convert denominators; some simplifying needed but no converting

Sheet 6: harder to convert denominators; simplifying needed and also converting to mixed numbers

Sheet 7: adding 3 fractions; easier sheet - simplifying needed but no converting

Sheet 8: adding 3 fractions; harder sheet - simplifying and converting to mixed numbers needed

Adding Fractions (with unlike) Denominators Quiz

This quick quiz tests your knowledge and skill at adding a range of fractions.

More Recommended Math Resources

Take a look at some more of our resources similar to these.

More Adding Subtracting Fractions

The sheets in this section will help you practice both adding and subtracting a range of fractions.

Some of the sheets also involve simplifying the fractions and converting the answers to mixed fractions.

Our Least Common Multiple Calculator will find the lowest common multiple of 2 or more numbers.

It will tell you the best multiple to convert the denominators of the fractions you are adding into.

There are also some worked examples.

least common multiple calculator image

This is a pre-requisite for knowing how to add and subtract fractions.

Multiplying and Dividing Fractions

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Here are some more fraction worksheets you can use in grade 4. They also use only fractions with a same denominator (like fractions).

Fraction addition worksheets: grade 5

In grade 5, students learn to add unlike fractions — fractions with different denominators.

Here are some more fraction worksheets for grade 5.

Fraction addition worksheets: grades 6-7

In grades 6 and 7, students simply practice addition with fractions that have larger denominators than in grade 5.

Fraction worksheets generator

Use the generator to make customized worksheets for fraction operations.

Practice makes perfect. Practice math at IXL.com

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  5. Fraction Addition Activity Worksheets

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  6. Basic Fraction Addition Worksheets Basic Fraction Addition Worksheets Horizontal

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  1. adding a fraction

  2. Class 3 Fractions Worksheets || Class 3 Maths Worksheets ||

  3. Addition of Fractions

  4. Grade 6 Mathematics: Adding Dissimilar Fractions

  5. Addition of Fraction

  6. Lesson Preview Ordering Fractions

COMMENTS

  1. Adding Fractions Worksheets

    This compilation of adding fractions worksheets is ideal for 3rd grade, 4th grade, 5th grade, and 6th grade students. Access some of these worksheets for free. Exclusive Fraction Addition Worksheets » Adding Fractions using a Number Line » Adding Like Fractions » Adding Fractions with Whole Numbers » Adding Unlike Fractions » Adding Mixed Numbers

  2. Fractions Worksheets

    Various Operations Fractions Worksheets Adding and subtracting fractions Multiplying and dividing fractions Mixed operations with fractions Operations with Negative fractions Order of Operations with Fractions Worksheets Order of Operations with Fractions Order of operations with decimals & fractions mixed

  3. Fractions worksheets for grades 1-6

    Grade 4 fraction worksheets Adding like fractions (denominators 2-12) Adding like fractions (all denominators) Adding fractions and mixed numbers (like denominators) Completing whole numbers Subtracting like fractions (denominators 2-12) Subtracting fractions from whole numbers, mixed numbers

  4. Add & Subtract Fractions Worksheets for Grade 5

    Fractions - addition and subtraction Add & Subtract Fractions for Grade 5 Add & subtract like and unlike fractions These grade 5 worksheets provide practice in adding and subtracting fractions with both like and unlike denominators. Sample Grade 5 Adding Fractions Worksheet More fractions worksheets

  5. Adding Fractions Worksheets

    Adding Fractions (like denominators) Worksheets If you are looking to add fractions which have the same denominator, take a look at our sheets below. Like Denominators Sheet 1: the easiest sheet, no simplifying or converting needed. Adding Fractions like denominators Sheet 1 Answers PDF version Sheet 2: Fractions need adding then simplifying.

  6. Worksheets for fraction addition

    Worksheets for fraction addition Create an unlimited supply of worksheets for adding fractions and mixed numbers (grades 4-7)! The worksheets can be made in html or PDF format — both are easy to print. You can also customize them using the generator below.