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Common Core: 5th Grade Math : Solve Real World Problems Involving Multiplication of Fractions and Mixed Numbers: CCSS.Math.Content.5.NF.B.6

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 #513 : Number & Operations With Fractions

A recipe calls for $\frac{1}{2}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{1}{4}\ cup$

$\frac{2}{4}\ cup$

$\frac{1}{2}\ cup$

$\frac{1}{3}\ cup$

$\frac{3}{4}\ cup$

Correct answer:

$\frac{1}{4}\ cup$

Explanation:

When you cut something in half, you can either divide by or multiply by $\frac{1}{2}$ . Remember, when you divide fractions, you actually multiply by the reciprocal. The reciprocal of is $\frac{1}{2}$ .

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

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Example Question #514 : Number & Operations With Fractions

A recipe calls for $\frac{1}{5}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{2}{10}\ cup$

$\frac{2}{5}\ cup$

$\frac{1}{10}\ cup$

$\frac{1}{5}\ cup$

$\frac{3}{10}\ cup$

Correct answer:

$\frac{1}{10}\ cup$

Explanation:

$\frac{1}{5}\times\frac{1}{2}=\frac{1}{10}$

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Example Question #515 : Number & Operations With Fractions

A recipe calls for $\frac{2}{5}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{7}{10}\ cup$

$\frac{1}{5}\ cup$

$\frac{3}{10}\ cup$

$\frac{3}{5}\ cup$

$\frac{1}{10}\ cup$

Correct answer:

$\frac{1}{5}\ cup$

Explanation:

$\frac{2}{5}\times\frac{1}{2}=\frac{2}{10}$

Reduce to find your final answer

$\frac{2}{10}\div\frac{2}{2}=\frac{1}{5}$

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Example Question #516 : Number & Operations With Fractions

A recipe calls for $\frac{3}{5}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{5}{10}\ cup$

$\frac{1}{10}\ cup$

$\frac{2}{5}\ cup$

$\frac{3}{10}\ cup$

$\frac{1}{2}\ cup$

Correct answer:

$\frac{3}{10}\ cup$

Explanation:

$\frac{3}{5}\times\frac{1}{2}=\frac{3}{10}$

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Example Question #517 : Number & Operations With Fractions

A recipe calls for $\frac{4}{5}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{1}{10}\ cup$

$\frac{3}{10}\ cup$

$\frac{1}{5}\ cup$

$\frac{2}{5}\ cup$

$\frac{3}{5}\ cup$

Correct answer:

$\frac{2}{5}\ cup$

Explanation:

$\frac{4}{5}\times\frac{1}{2}=\frac{4}{10}$

Reduce to find your final answer

$\frac{4}{10}\div\frac{2}{2}=\frac{2}{5}$

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Example Question #518 : Number & Operations With Fractions

A recipe calls for $\frac{2}{3}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{1}{7}\ cup$

$\frac{1}{3}\ cup$

$\frac{1}{6}\ cup$

$\frac{1}{2}\ cup$

$\frac{3}{4}\ cup$

Correct answer:

$\frac{1}{3}\ cup$

Explanation:

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

Reduce to find your final answer

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

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Example Question #519 : Number & Operations With Fractions

A recipe calls for $\frac{1}{3}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$1\ cup$

$\frac{1}{2}\ cup$

$\frac{2}{3}\ cup$

$\frac{5}{6}\ cup$

$\frac{1}{6}\ cup$

Correct answer:

$\frac{1}{6}\ cup$

Explanation:

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

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Example Question #521 : Number & Operations With Fractions

A recipe calls for $\frac{1}{6}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{1}{2}\ cup$

$\frac{1}{12}\ cup$

$\frac{1}{10}\ cup$

$\frac{1}{9}\ cup$

$\frac{2}{6}\ cup$

Correct answer:

$\frac{1}{12}\ cup$

Explanation:

$\frac{1}{6}\times\frac{1}{2}=\frac{1}{12}$

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Example Question #522 : Number & Operations With Fractions

A recipe calls for $\frac{5}{6}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{11}{12}\ cup$

$\frac{1}{12}\ cup$

$\frac{7}{12}\ cup$

$\frac{3}{12}\ cup$

$\frac{5}{12}\ cup$

Correct answer:

$\frac{5}{12}\ cup$

Explanation:

$\frac{5}{6}\times\frac{1}{2}=\frac{5}{12}$

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Example Question #281 : How To Multiply Fractions

A recipe calls for $\frac{2}{9}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{3}{9}\ cup$

$\frac{1}{9}\ cup$

$\frac{1}{2}\ cup$

$\frac{1}{3}\ cup$

$\frac{2}{3}\ cup$

Correct answer:

$\frac{1}{9}\ cup$

Explanation:

$\frac{2}{9}\times\frac{1}{2}=\frac{2}{18}$

Reduce to find your final answer

$\frac{2}{18}\div\frac{2}{2}=\frac{1}{9}$

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Common Core: 5th Grade Math : Solve Real World Problems Involving Multiplication of Fractions and Mixed Numbers: CCSS.Math.Content.5.NF.B.6

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #513 : Number & Operations With Fractions

Example Question #514 : Number & Operations With Fractions

Example Question #515 : Number & Operations With Fractions

Example Question #516 : Number & Operations With Fractions

Example Question #517 : Number & Operations With Fractions

Example Question #518 : Number & Operations With Fractions

Example Question #519 : Number & Operations With Fractions

Example Question #521 : Number & Operations With Fractions

Example Question #522 : Number & Operations With Fractions

Example Question #281 : How To Multiply Fractions

All Common Core: 5th Grade Math Resources

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