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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 #631 : Numbers And Operations

Molly has gallon of water. Each water bottle holds $\frac{1}{2}$ of a gallon. How many water bottles can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{2}$ s are in whole?

To solve $1\div\frac{1}{2}$ we multiply by the reciprocal

$\frac{1}{1}\times\frac{2}{1}=\frac{2}{1}=2$

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Example Question #632 : Numbers And Operations

Kailynn has gallons of water. Each water bottle holds $\frac{1}{2}$ of a gallon. How many water bottles can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{2}$ s are in wholes?

To solve $2\div\frac{1}{2}$ we multiply by the reciprocal

$\frac{2}{1}\times\frac{2}{1}=\frac{4}{1}=4$

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Example Question #41 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Kailynn has gallons of water. Each water bottle holds $\frac{1}{2}$ of a gallon. How many water bottles can she fill?

Possible Answers:

Correct answer:

Explanation:

Think: How many $\frac{1}{2}$ s are in wholes?

To solve $3\div\frac{1}{2}$ we multiply by the reciprocal

$\frac{3}{1}\times\frac{2}{1}=\frac{6}{1}=6$

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Example Question #621 : Number & Operations With Fractions

You find a candy bar and eat $\frac{1}{3}$ of it. Two of your friends evenly split the rest of it. How much of the candy bar does each of them eat?

Possible Answers:

$\frac{1}{3}$

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{2}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

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Example Question #1 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{2}\ cup$ servings are in cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{2}\ cup$ servings are in cups, we are dividing by $\frac{1}{2}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{3}{1}\times\frac{2}{1}=\frac{6}{1}=6$

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Example Question #2 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{3}\ cup$ servings are in cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{3}\ cup$ servings are in cups, we are dividing by $\frac{1}{3}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{3}{1}\times\frac{3}{1}=\frac{9}{1}=9$

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Example Question #3 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{4}\ cup$ servings are in cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{4}\ cup$ servings are in cups, we are dividing by $\frac{1}{4}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{4}{1}\times\frac{4}{1}=\frac{16}{1}=16$

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Example Question #5 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{2}\ cup$ servings are in cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{2}\ cup$ servings are in cups, we are dividing by $\frac{1}{2}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{4}{1}\times\frac{2}{1}=\frac{8}{1}=8$

Report an Error

Example Question #6 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{3}\ cup$ servings are in cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{3}\ cup$ servings are in cups, we are dividing by $\frac{1}{3}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{4}{1}\times\frac{3}{1}=\frac{12}{1}=12$

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Example Question #7 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

How many $\frac{1}{4}\ cup$ servings are in cups of chocolate chips?

Possible Answers:

Correct answer:

Explanation:

Because we want to know how many $\frac{1}{4}\ cup$ servings are in cups, we are dividing by $\frac{1}{4}$ .

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{5}{1}\times\frac{4}{1}=\frac{20}{1}=20$

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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 #631 : Numbers And Operations

Example Question #632 : Numbers And Operations

Example Question #41 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #621 : Number & Operations With Fractions

Example Question #1 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #2 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #3 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #5 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #6 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

Example Question #7 : Solve Division Word Problems With Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7c

All Common Core: 5th Grade Math Resources

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