homework 5.4 answer key

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Eureka Math Grade 5 Module 4 Lesson 4 Answer Key

Engage ny eureka math 5th grade module 4 lesson 4 answer key, eureka math grade 5 module 4 lesson 4 problem set answer key.

b. 2 ÷ 3 = Answer: 2/3

c. 7 ÷ 5 = Answer: 1 2/5

d. 14 ÷ 5 = Answer: 2 4/5

Question 3. Greg spent $4 on 5 packs of sport cards. a. How much did Greg spend on each pack? Answer: Greg spent $80 on each pack.

b. If Greg spent half as much money and bought twice as many packs of cards, how much did he spend on each pack? Explain your thinking. Answer: He spent $20 dollars on each pack.

Question 4. Five pounds of birdseed is used to fill 4 identical bird feeders. a. What fraction of the birdseed will be needed to fill each feeder? Answer: 1/4

Explanation: There are 4 identical bird feeders, so 1/4 of the birdseed would be needed to fill each feeder.

b. How many pounds of birdseed are used to fill each feeder? Draw a tape diagram to show your thinking. Answer: 1 1/4 4 units = 5lb 1 unit = 5lb ÷ 4 = 5/4 = 1 1/4

c. How many ounces of birdseed are used to fill three bird feeders? Answer: 1 lb = 16 oz 1 1/4 = x = 1 1/4 * 16 oz = 16 oz + 4 oz = 20 oz 1 unit = 20ounces 3 units  = 3*20 = 60 ounces

Explanation: 60 ounces of birdseed are used to fill three birdfeeders.

Eureka Math Grade 5 Module 4 Lesson 4 Exit Ticket Answer Key

Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards. If they share the job equally, how many square yards of the flower bed will each child need to weed? Use a tape diagram to show your thinking. Answer: Each child will need to weed   =2  1/4 square yards

Explanation: Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards. Matthew and his 3 siblings   = 1 + 3 = 4 The Total area given is = 9  square yards. Hence, Each child will need to weed   = 9/4  square  yards                                                 = 2  1/4 square yards

Eureka Math Grade 5 Module 4 Lesson 4 Homework Answer Key

c. 8 ÷ 5 = Answer: 8/5 = 1 3/8

d. 14 ÷ 3 = Answer: 2 4/5

Question 3. Jackie cut a 2-yard spool into 5 equal lengths of ribbon. a. What is the length of each ribbon in yards? Draw a tape diagram to show your thinking. Answer: 2/5 yard

Explanation: 2 ÷ 5 = 2/5 yards

b. What is the length of each ribbon in feet? Draw a tape diagram to show your thinking. Answer: 1 1/5 ft

Question 4. Baa Baa, the black sheep, had 7 pounds of wool. If he separated the wool equally into 3 bags, how much wool would be in 2 bags? Answer: 4 2/3 pounds Explanation:

2 bags = 2 1/3 + 2 1/3 = 4 2/3 pounds

Question 5. An adult sweater is made from 2 pounds of wool. This is 3 times as much wool as it takes to make a baby sweater. How much wool does it take to make a baby sweater? Use a tape diagram to solve. Answer: 2 lbs

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Texas Go Math Grade 5 Lesson 5.4 Answer Key Common Denominators and Equivalent Fractions

Refer to our Texas Go Math Grade 5 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 5 Lesson 5.4 Answer Key Common Denominators and Equivalent Fractions.

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Sarah planted two 1-acre gardens. One had 3 sections of flowers and the other had 4 sections of flowers. She plans to divide both gardens into more sections so that they have the same number of equal-sized sections. How many sections will each garden have?

You can use a common denominator or a common multiple of two or more denominators to write fractions that name the same part of a whole.

• Multiply the denominators to find a common denominator. A common denominator of \(\frac{1}{3}\) and \(\frac{1}{4}\) is __________.
• Write and as equivalent fractions using the common denominator. \(\frac{1}{3}\) = ___________ \(\frac{1}{4}\) = ____________

So, both gardens will have ___________ sections. Answer:

• Multiply the denominators to find a common denominator. A common denominator of \(\frac{1}{3}\) and \(\frac{1}{4}\) is 12
• Write and as equivalent fractions using the common denominator. \(\frac{1}{3}\) =\(\frac{4}{12}\) \(\frac{1}{4}\) = \(\frac{3}{12}\)

So, both gardens will have12 sections.

Find the least common denominator of \(\frac{3}{4}\) and \(\frac{1}{6}\).

List nonzero multiples of the denominators. Find the least common multiple. Multiplesof 4: ___________________ Multiples of 6: ___________________ So, the least common denominator of \(\frac{3}{4}\) and \(\frac{1}{6}\) is _______________. Answer: List nonzero multiples of the denominators. Find the least common multiple. Multiples of 4:    2 , 4 Multiples of 6:   2, 3, 6 So, the least common denominator of \(\frac{3}{4}\) and \(\frac{1}{6}\) is 12.

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Go Math Lesson 5.4 5th Grade Answer Key Question 1. Find a common denominator of \(\frac{1}{6}\) and \(\frac{1}{9}\). Rewrite the pair of fractions using the common denominator.

• Multiply the denominators. A common denominator of \(\frac{1}{6}\) and \(\frac{1}{9}\) is ___________.
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{6}\) = ___________ \(\frac{1}{9}\) = ____________
• Multiply the denominators. A common denominator of \(\frac{1}{6}\) and \(\frac{1}{9}\) is 18.
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{6}\) = \(\frac{3}{18}\) \(\frac{1}{9}\) = \(\frac{2}{18}\)

Explanation: By using A common denominator written an equivalent fraction for each fraction

Math Talk Mathematical Processes

Explain two methods for finding a common denominator of two fractions. Answer: Prime Factorization Method and Division method

Use a common denominator to write an equivalent fraction for each fraction.

Question 2. \(\frac{1}{3}\), \(\frac{1}{5}\) common denominator: ___________

• Multiply the denominators. A common denominator of \(\frac{1}{3}\) and \(\frac{1}{5}\) is 15.
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{3}\) = \(\frac{5}{15}\) \(\frac{1}{5}\) = \(\frac{3}{15}\)

Question 3. \(\frac{2}{3}\) , \(\frac{5}{9}\) common denominator: ___________

• Multiply the denominators. A common denominator of \(\frac{2}{3}\) and \(\frac{5}{9}\) is 9.
• Rewrite the pair of fractions using the common denominator. \(\frac{2}{3}\) = \(\frac{6}{9}\) \(\frac{5}{9}\) = \(\frac{5}{9}\)

Explanation: By using A common denominator write an equivalent fraction for each fraction

Go Math Lesson 5.4 Answer Key 5th Grade Question 4. \(\frac{2}{9}\), \(\frac{1}{15}\) common denominator: _____________

• Multiply the denominators. A common denominator of \(\frac{2}{9}\) and \(\frac{1}{15}\)is 15.
• Rewrite the pair of fractions using the common denominator. \(\frac{2}{9}\) = \(\frac{10}{45}\) \(\frac{1}{15}\) = \(\frac{3}{45}\)

Use the least common denominator to write an equivalent fraction for each fraction.

Question 5. \(\frac{1}{4}\), \(\frac{3}{8}\) least common denominator: _____________

Answer: 8 Explanation: a “Denominator” is the bottom number of a fraction. a “Common Denominator” is when the bottom number is the same for the fractions. the “Least Common Denominator” is the smallest number that can be used for all denominators of the fractions. It makes it easy to add and subtract the fractions.

Question 6. \(\frac{11}{12}\), \(\frac{5}{8}\) least common denominator: _____________ Answer:  24 Explanation: a “Denominator” is the bottom number of a fraction. a “Common Denominator” is when the bottom number is the same for the fractions. the “Least Common Denominator” is the smallest number that can be used for all denominators of the fractions. It makes it easy to add and subtract the fractions.

Question 7. \(\frac{4}{5}\), \(\frac{1}{6}\) least common denominator: _____________ Answer: 30 Explanation: a “Denominator” is the bottom number of a fraction. a “Common Denominator” is when the bottom number is the same for the fractions. the “Least Common Denominator” is the smallest number that can be used for all denominators of the fractions. It makes it easy to add and subtract the fractions.

Problem Solving

Practice: Copy and Solve Use the least common denominator to write an equivalent fraction for each fraction.

Question 8. \(\frac{1}{6}\), \(\frac{4}{9}\) Answer: \(\frac{1}{6}\) = \(\frac{3}{18}\) \(\frac{4}{9}\) = \(\frac{8}{18}\) Explanation:

• A common denominator of \(\frac{1}{6}\), \(\frac{4}{9}\) is 18.
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{6}\)= \(\frac{3}{18}\) \(\frac{4}{9}\), = \(\frac{8}{18}\)

Question 9. \(\frac{7}{9}\), \(\frac{8}{27}\)

Answer: \(\frac{7}{9}\) = \(\frac{21}{27}\) \(\frac{8}{27}\)= \(\frac{8}{27}\) Explanation:

• A common denominator of \(\frac{7}{9}\), \(\frac{8}{27}\) is 27.
• Rewrite the pair of fractions using the common denominator. \(\frac{7}{9}\) = \(\frac{21}{27}\) \(\frac{8}{27}\)= \(\frac{8}{27}\)

Lesson 5.4 5th Grade Go Math Answer Key Question 10. \(\frac{7}{10}\), \(\frac{3}{8}\)

Answer: \(\frac{7}{10}\) = \(\frac{28}{40}\) \(\frac{3}{8}\)= \(\frac{15}{40}\) Explanation:

• A common denominator of \(\frac{7}{10}\), \(\frac{3}{8}\) is 40.
• Rewrite the pair of fractions using the common denominator. \(\frac{7}{10}\) = \(\frac{28}{40}\) \(\frac{3}{8}\)= \(\frac{15}{40}\)

Question 11. \(\frac{1}{3}\), \(\frac{5}{11}\)

Answer: \(\frac{1}{3}\) = \(\frac{11}{33}\) \(\frac{5}{11}\)= \(\frac{15}{33}\) Explanation:

• A common denominator of \(\frac{1}{3}\), \(\frac{5}{11}\) is 33.
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{3}\) = \(\frac{11}{33}\) \(\frac{5}{11}\)= \(\frac{15}{33}\)

Question 15. What does a common denominator of two fractions represent? Explain. Answer: least common denominator Explanation: common denominator of two fractions represent multiples of the fraction

Question 16. Katie made two pies for the bake sale. One was cut into three equal slices and the other into 5 equal slices. She will continue to cut the pies so each one has the same number of equal-sized slices. What is the least number of equal-sized slices each pie could have? a. What information are you given? Answer: The information is about pie making into slices and sharing them to equal shares

b. What problem are you being asked to solve? Answer: least number of equal-sized slices each pie had.

c. When Katie cuts the pies more, can she cut each pie the same number of times and have all the slices the same size? Explain. Answer: When Katie cuts the slices to 3 times the slices as 5 Katie cuts the pies more,  she  can’t cut each pie the same number of times and have all the slices doesn’t have the same size

e. Complete the sentences. The least common denominator of \(\frac{1}{3}\) and \(\frac{1}{5}\) is __________. Katie can cut each piece of the first pie into ________ and each piece of the second pie into _________. That means that Katie can cut each pie into pieces that are ________ of the whole pie. Answer: The least common denominator of \(\frac{1}{3}\) and \(\frac{1}{5}\) is 15 Katie can cut each piece of the first pie into \(\frac{5}{15}\) and each piece of the second pie into \(\frac{3}{15}\) That means that Katie can cut each pie into pieces that are \(\frac{8}{15}\) of the whole pie.

Daily Assessment Task

Fill in the bubble completely to show your answer.

Question 18. Reasoning Magara entered the fractions \(\frac{1}{4}\) and \(\frac{7}{}\) into a computer program. The computer used the least common denominator to rename the fractions as \(\frac{5}{20}\) and \(\frac{14}{20}\). What is the unknown denominator? (A) 20 (B) 8 (C) 12 (D) 10 Answer: A Explanation: Magara entered the fractions \(\frac{1}{4}\) and \(\frac{7}{}\) into a computer program. The computer used the least common denominator to rename the fractions as \(\frac{5}{20}\) and \(\frac{14}{20}\). The unknown denominator is 20

Go Math Lesson 5.4 Homework Answer Key 5th Grade Question 19. Alejandro wants to use the least common denominator to write equivalent fractions for \(\frac{3}{7}\) and \(\frac{4}{5}\). He rewrites the fractions as \(\frac{15}{35}\) and \(\frac{20}{35}\). How should he change his answer? (A) The numerators are correct, but the denominators should be 7. (B) \(\frac{20}{35}\) is correct, but \(\frac{15}{35}\) should be \(\frac{21}{25}\). (C) \(\frac{15}{35}\) is correct, but \(\frac{20}{35}\) should be \(\frac{28}{35}\). (D) The denominators are correct, but both numerators should be 12. Answer: C Explanation: Alejandro wants to use the least common denominator to write equivalent fractions for \(\frac{3}{7}\) and \(\frac{4}{5}\). He rewrites the fractions as \(\frac{15}{35}\) and \(\frac{20}{35}\). he changes the answer to \(\frac{15}{35}\) is correct, but \(\frac{20}{35}\) should be \(\frac{28}{35}\).

Question 20. Multi-Step Aiesha and her mom are cutting two sandwiches into smaller bite-size pieces. They cut the first sandwich in four equal sized pieces. They cut the second sandwich into six equal-sized pieces. However, they want an equal number of pieces from each sandwich. What is the least number of pieces they could cut from each sandwich? (A) 4 (B) 6 (C) 10 (D) 12 Answer: C Explanation: Aiesha and her mom are cutting two sandwiches into smaller bite-size pieces. They cut the first sandwich in four equal sized pieces. They cut the second sandwich into six equal-sized pieces. However, they want an equal number of pieces from each sandwich. 10 is the least number of pieces they could cut from each sandwich

Texas Test Prep

Question 21. Which fractions use the least common denominator and are equivalent to \(\frac{5}{8}\) and \(\frac{7}{10}\) ? (A) \(\frac{10}{40}\) and \(\frac{14}{40}\) (B) \(\frac{25}{80}\) and \(\frac{21}{80}\) (C) \(\frac{25}{40}\) and \(\frac{28}{40}\) (D) \(\frac{50}{80}\) and \(\frac{56}{80}\) Answer: C Explanation: least common denominator and are equivalent to \(\frac{5}{8}\) and \(\frac{7}{10}\) is \(\frac{25}{40}\) and \(\frac{28}{40}\)

Texas Go Math Grade 5 Lesson 5.4 Homework and Practice Answer Key

Question 1. \(\frac{1}{10}\), \(\frac{1}{5}\) ___________ Answer: \(\frac{1}{10}\) = \(\frac{1}{10}\) \(\frac{1}{5}\)= \(\frac{2}{10}\)

Explanation:

• A common denominator of \(\frac{1}{10}\), \(\frac{1}{5}\) is 10
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{10}\) = \(\frac{1}{10}\) \(\frac{1}{5}\)= \(\frac{2}{10}\)

Question 2. \(\frac{1}{3}\), \(\frac{2}{9}\) ___________ Answer: \(\frac{1}{3}\) = \(\frac{3}{9}\) \(\frac{2}{9}\)= \(\frac{2}{9}\)

• A common denominator of \(\frac{1}{3}\), \(\frac{2}{9}\) is 9
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{3}\) = \(\frac{3}{9}\) \(\frac{2}{9}\)= \(\frac{2}{9}\)

Question 3. \(\frac{1}{6}\), \(\frac{2}{4}\) ___________ Answer: \(\frac{1}{6}\) = \(\frac{2}{12}\) \(\frac{2}{4}\)= \(\frac{6}{12}\)

• A denominator of \(\frac{1}{6}\), \(\frac{2}{4}\) is 12
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{6}\) = \(\frac{2}{12}\) \(\frac{2}{4}\)= \(\frac{6}{12}\)

Question 4. \(\frac{2}{3}\), \(\frac{1}{2}\) ___________ Answer: \(\frac{2}{3}\) = \(\frac{4}{6}\) \(\frac{1}{2}\)= \(\frac{3}{6}\)

• A common denominator of \(\frac{2}{3}\), \(\frac{1}{2}\) is 6.
• Rewrite the pair of fractions using the common denominator. \(\frac{2}{3}\) = \(\frac{4}{6}\) \(\frac{1}{2}\)= \(\frac{3}{6}\)

Question 5. \(\frac{3}{4}\), \(\frac{3}{8}\) ___________ Answer: \(\frac{3}{4}\) = \(\frac{6}{8}\) \(\frac{3}{8}\)= \(\frac{3}{8}\)

• A common denominator of \(\frac{3}{4}\), \(\frac{3}{8}\) is8
• Rewrite the pair of fractions using the common denominator. \(\frac{3}{4}\) = \(\frac{6}{8}\) \(\frac{3}{8}\)= \(\frac{3}{8}\)

Question 6. \(\frac{11}{12}\), \(\frac{1}{6}\) ___________ Answer: \(\frac{11}{12}\) = \(\frac{11}{12}\) \(\frac{1}{6}\)= \(\frac{2}{12}\)

• A common denominator of \(\frac{11}{12}\), \(\frac{1}{6}\) is 12.
• Rewrite the pair of fractions using the common denominator. \(\frac{11}{12}\) = \(\frac{11}{12}\) \(\frac{1}{6}\)= \(\frac{2}{12}\)

Question 7. \(\frac{1}{2}\), \(\frac{2}{5}\) ___________ Answer: \(\frac{1}{2}\) = \(\frac{5}{10}\) \(\frac{2}{5}\)= \(\frac{4}{10}\)

• A common denominator of \(\frac{1}{2}\), \(\frac{2}{5}\) is 10
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{2}\) = \(\frac{5}{10}\) \(\frac{2}{5}\)= \(\frac{4}{10}\)

Question 8. \(\frac{5}{7}\), \(\frac{3}{5}\) ___________ Answer: \(\frac{5}{7}\) /  = \(\frac{25}{35}[latex] [latex]\frac{3}{5}\)= \(\frac{21}{35}\)

• A common denominator of \(\frac{5}{7}\), \(\frac{3}{5}\) is 35
• Rewrite the pair of fractions using the common denominator. \(\frac{5}{7}\) /  = \(\frac{25}{35}[latex] [latex]\frac{3}{5}\)= \(\frac{21}{35}\)

Go Math Common Denominators and Equivalent Fractions Lesson 5.4 Question 9. \(\frac{1}{4}\), \(\frac{3}{16}\) ___________ Answer: \(\frac{1}{4}\) = \(\frac{4}{16}\) \(\frac{3}{16}\)= \(\frac{3}{16}\)

• A common denominator of \(\frac{1}{4}\), \(\frac{3}{16}\) is 16
• Rewrite the pair of fractions using the common denominator. \(\frac{1}{4}\) = \(\frac{4}{16}\) \(\frac{3}{16}\)= \(\frac{3}{16}\)

Question 10. \(\frac{2}{5}\), \(\frac{3}{4}\) ___________ Answer: \(\frac{2}{5}\) = \(\frac{8}{20}\) \(\frac{3}{4}\)= \(\frac{15}{20}\)

• A common denominator of \(\frac{2}{5}\), \(\frac{3}{4}\) is 20
• Rewrite the pair of fractions using the common denominator. \(\frac{2}{5}\) = \(\frac{8}{20}\) \(\frac{3}{4}\)= \(\frac{15}{20}\)

Question 11. \(\frac{2}{15}\), \(\frac{5}{6}\) ___________ Answer: \(\frac{2}{15}\) = \(\frac{4}{30}\) \(\frac{5}{6}\)= \(\frac{25}{30}\)

• A common denominator of \(\frac{2}{15}\), \(\frac{5}{6}\) is 30
• Rewrite the pair of fractions using the common denominator. \(\frac{2}{15}\) = \(\frac{4}{30}\) \(\frac{5}{6}\)= \(\frac{25}{30}\)

Question 12. \(\frac{7}{8}\), \(\frac{1}{2}\) ___________ Answer: \(\frac{7}{8}\) = \(\frac{7}{8}\) \(\frac{1}{2}\)= \(\frac{4}{8}\)

• A common denominator of \(\frac{7}{8}\), \(\frac{1}{2}\) is 8.
• Rewrite the pair of fractions using the common denominator. \(\frac{7}{8}\) = \(\frac{7}{8}\) \(\frac{1}{2}\)= \(\frac{4}{8}\)

Question 16. Dana bought two same-sized posterboards. She cut the posterboards into equal-sized pieces to make placemats for her dinner guests. She cut the first posterboard into 5 pieces and the second posterboard into 2 pieces. She will continue to cut the pieces of posterboard so that each one is divided into the same number of equal-sized pieces. What is the least number of equal-sized pieces each posterboard could have? Answer: 10 Explanation: least number of equal-sized pieces each posterboard could have is 10

Question 17. A recipe for homemade goop calls for \(\frac{1}{4}\) cup of cornstarch and \(\frac{1}{8}\) cup of glue. Find the least common denominator of the fractions used in the recipe. Answer: 8 Explanation: least common denominator of the fractions used in the recipe is 8

Lesson Check

Question 18. How can you find the least common denominator for \(\frac{1}{8}\) and \(\frac{2}{9}\). (A) Multiply 8 and 9. (B) Add 8 and 9. (C) Multiply each number by 2. (D) Add 2 to 8 and 1 to 9. Answer: A Explanation: a “Denominator” is the bottom number of a fraction. a “Common Denominator” is when the bottom number is the same for the fractions. the “Least Common Denominator” is the smallest number that can be used for all denominators of the fractions. It makes it easy to add and subtract the fractions.

Go Math Lesson 5.4 Homework Answer Key Question 19. If the least common denominator for \(\frac{1}{}\) and \(\frac{5}{12}\) is 12, which of the following could not be the unknown denominator? (A) 2 (B) 3 (C) 4 (D) 5 Answer: D Explanation: Remaining are the multiples of 12

Question 20. Which fractions use the least common denominator and are equivalent to \(\frac{3}{10}\) and \(\frac{1}{6}\)? (A) \(\frac{18}{60}\) and \(\frac{10}{60}\) (B) \(\frac{30}{60}\) and \(\frac{10}{60}\) (C) \(\frac{10}{30}\) and \(\frac{18}{30}\) (D) \(\frac{5}{30}\) and \(\frac{9}{30}\) Answer: D Explanation: The least common denominator and are equivalent to \(\frac{3}{10}\) and \(\frac{1}{6}\) is \(\frac{5}{30}\) and \(\frac{9}{30}\)

Question 21. Lindsay writes two fractions with a least common denominator of 36. Which fractions does Lindsay write? (A) \(\frac{2}{3}\), \(\frac{5}{12}\) (B) \(\frac{2}{9}\), \(\frac{1}{12}\) (C) \(\frac{3}{8}\), \(\frac{7}{72}\) (D) \(\frac{1}{8}\), \(\frac{5}{36}\) Answer: B Explanation: Lindsay writes two fractions with a least common denominator of 36 Lindsay fraction is \(\frac{2}{9}\), \(\frac{1}{12}\)

Question 22. Multi-Step An archeologist marks off two equal-sized sites for excavation. She uses a grid system to divide each square site into sections. One square has 8 sections. The other square has 6 sections. She plans to divide both squares into more sections so that they have the same number of equal-sized sections. How many sections will each square have? (A) 14 (B) 8 (C) 24 . (D) 36 Answer: C Explanation: An archeologist marks off two equal-sized sites for excavation. She uses a grid system to divide each square site into sections. One square has 8 sections. The other square has 6 sections. She plans to divide both squares into more sections so that they have the same number of equal-sized sections. 24sections will each square have

Question 23. Multi-Step Mr. Nickelson tells the class that they double the least common denominator for \(\frac{1}{2}\), \(\frac{3}{5}\), and \(\frac{9}{15}\) to find the number of the day. Which number is the number of the day? (A) 30 (B) 15 (C) 60 (D) 32 Answer: C Explanation: least common denominator for \(\frac{1}{2}\), \(\frac{3}{5}\), and \(\frac{9}{15}\) = 30 30 is the number of the day and it is doubled that is 60

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