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Common Core: 5th Grade Math : Number & Operations with Fractions

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #51 : Operations With Fractions And Whole Numbers

Shelly made gallons of punch. $\frac{1}{7}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{5}{7}$

$\frac{3}{7}$

$\frac{6}{7}$

Correct answer:

$\frac{6}{7}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{7}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{7}\times6$

6 7

$\frac{1}{7}\times6$ which means $\frac{1}{7}$ of each group of $6=\frac{6}{7}$

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Example Question #52 : Operations With Fractions And Whole Numbers

Lisa made gallons of punch. $\frac{1}{8}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{3}{8}$

$\frac{6}{8}$

$\frac{2}{8}$

Correct answer:

$\frac{2}{8}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{8}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{8}\times2$

2 8

$\frac{1}{8}\times2$ which means $\frac{1}{8}$ of each group of $2=\frac{2}{8}$

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Example Question #17 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Molly made gallons of punch. $\frac{1}{8}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{5}{8}$

$\frac{3}{8}$

$\frac{6}{8}$

Correct answer:

$\frac{3}{8}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{8}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{8}\times3$

3 8

$\frac{1}{8}\times3$ which means $\frac{1}{8}$ of each group of $3=\frac{3}{8}$

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Example Question #53 : Operations With Fractions And Whole Numbers

Natalie made gallons of punch. $\frac{1}{8}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{3}{8}$

$\frac{4}{8}$

$\frac{7}{8}$

Correct answer:

$\frac{4}{8}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{8}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{8}\times4$

4 8

$\frac{1}{8}\times4$ which means $\frac{1}{8}$ of each group of $4=\frac{4}{8}$

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Example Question #52 : Operations With Fractions And Whole Numbers

Ashley made gallons of punch. $\frac{1}{8}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{5}{8}$

$\frac{7}{8}$

$\frac{6}{8}$

Correct answer:

$\frac{5}{8}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{8}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{8}\times5$

5 8

$\frac{1}{8}\times5$ which means $\frac{1}{8}$ of each group of $5=\frac{5}{8}$

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Example Question #281 : Number & Operations With Fractions

Emily made gallons of punch. $\frac{1}{8}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{5}{8}$

$\frac{3}{8}$

$\frac{6}{8}$

Correct answer:

$\frac{6}{8}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{8}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{8}\times6$

6 8

$\frac{1}{8}\times6$ which means $\frac{1}{8}$ of each group of $6=\frac{6}{8}$

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Example Question #282 : Fractions

Elizabeth made gallons of punch. $\frac{1}{8}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{4}{8}$

$\frac{7}{8}$

$\frac{5}{8}$

Correct answer:

$\frac{7}{8}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{8}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{8}\times7$

7 8

$\frac{1}{8}\times7$ which means $\frac{1}{8}$ of each group of $7=\frac{7}{8}$

Report an Error

Example Question #22 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Christina made gallons of punch. $\frac{1}{9}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{2}{9}$

$\frac{3}{9}$

$\frac{1}{9}$

Correct answer:

$\frac{2}{9}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{9}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{9}\times2$

2 9

$\frac{1}{9}\times2$ which means $\frac{1}{9}$ of each group of $2=\frac{2}{9}$

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Example Question #23 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Becky made gallons of punch. $\frac{1}{9}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{5}{9}$

$\frac{2}{9}$

$\frac{3}{9}$

Correct answer:

$\frac{3}{9}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{9}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{9}\times3$

3 9

$\frac{1}{9}\times3$ which means $\frac{1}{9}$ of each group of $3=\frac{3}{9}$

Report an Error

Example Question #24 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Gail made gallons of punch. $\frac{1}{9}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{2}{9}$

$\frac{5}{9}$

$\frac{4}{9}$

Correct answer:

$\frac{4}{9}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{9}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{9}\times4$

4 9

$\frac{1}{9}\times4$ which means $\frac{1}{9}$ of each group of $4=\frac{4}{9}$

Report an Error

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Number & Operations with Fractions

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #51 : Operations With Fractions And Whole Numbers

Example Question #52 : Operations With Fractions And Whole Numbers

Example Question #17 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #53 : Operations With Fractions And Whole Numbers

Example Question #52 : Operations With Fractions And Whole Numbers

Example Question #281 : Number & Operations With Fractions

Example Question #282 : Fractions

Example Question #22 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #23 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #24 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

All Common Core: 5th Grade Math Resources

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