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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 #1283 : Numbers And Operations

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:

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

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

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

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

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

Correct answer:

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

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 $\frac{1}{2}$ .

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

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Example Question #1281 : Numbers And Operations

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:

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

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

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

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

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

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:

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

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

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

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

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

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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Example Question #1951 : Ssat Middle Level Quantitative (Math)

Dan collected $\small \frac{1}{4}$ of a bag of leaves. Sean collected $\small 6$ times as many bags as Dan. How many bags did Sean collect?

Possible Answers:

$\small 3$

$\small 1\frac{1}{2}$

$\small 1$

$\small 2\frac{2}{4}$

Correct answer:

$\small 1\frac{1}{2}$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{6}{1}\times\frac{1}{4}=\frac{6}{4}$

$\small \frac{6}{4}=1\frac{2}{4}$ Because can go into $\small 6$ only $\small 1$ time and $\small \frac{2}{4}$ is left over.

Sean collected $\small 1\frac{2}{4}$ bags of leaves.

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

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Example Question #521 : Number & Operations With Fractions

Which of the following statements is FALSE?

Possible Answers:

$\frac{1}{3}\times4=4\times\frac{1}{3}$

$\frac{7}{8}\times8=\frac{7}{8}\div \frac{1}{8}$

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

$\frac{1}{3}\div 4=4\div \frac{1}{3}$

$2\times3\div 3=\frac{2}{1}\times\frac{3}{1}\times\frac{1}{3}$

Correct answer:

$\frac{1}{3}\div 4=4\div \frac{1}{3}$

Explanation:

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Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Solve the following:

$\small \frac{1}{2}\div\frac{2}{3}$

Possible Answers:

$\small \frac{1}{3}$

$\small \frac{3}{4}$

$\small \frac{3}2{}$

$\small \frac{1}{2}$

$\small \frac{5}{6}$

Correct answer:

$\small \frac{3}{4}$

Explanation:

$\small \frac{1}{2}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{1}{2}\times\frac{3}{2}=\frac{3}{4}$

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Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{1}{7}\div\frac{2}{3}$

Possible Answers:

$\small \frac{3}{11}$

$\small \frac{3}{14}$

$\small \frac{14}{3}$

$\small \frac{21}{2}$

$\small \frac{2}{21}$

Correct answer:

$\small \frac{3}{14}$

Explanation:

$\small \frac{1}{7}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{1}{7}\times\frac{3}{2}=\frac{3}{14}$

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Example Question #524 : Number & Operations With Fractions

$\small \frac{2}{9}\div\frac{1}{2}$

Possible Answers:

$\small \frac{4}{9}$

$\small \frac{18}{2}$

$\small \frac{9}{4}$

$\small \frac{2}{18}$

$\small \frac{1}{3}$

Correct answer:

$\small \frac{4}{9}$

Explanation:

$\small \frac{2}{9}\div\frac{1}{2}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{2}{9}\times\frac{2}{1}=\frac{4}{9}$

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Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{3}{4}\div\frac{1}{5}$

Possible Answers:

$\small \frac{17}{7}$

$\small \frac{4}{15}$

$\small \frac{20}{3}$

$\small \frac{15}{4}$

$\small \frac{3}{20}$

Correct answer:

$\small \frac{15}{4}$

Explanation:

$\small \frac{3}{4}\div\frac{1}{5}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{4}\times\frac{5}{1}=\frac{15}{4}$

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Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{3}{14}\div\frac{1}{3}$

Possible Answers:

$\small \frac{3}{42}$

$\small \frac{9}{11}$

$\small \frac{42}{3}$

$\small \frac{9}{14}$

$\small \frac{11}{9}$

Correct answer:

$\small \frac{9}{14}$

Explanation:

$\small \frac{3}{14}\div\frac{1}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{14}\times\frac{3}{1}=\frac{9}{14}$

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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 #1283 : Numbers And Operations

Example Question #1281 : Numbers And Operations

Example Question #281 : How To Multiply Fractions

Example Question #1951 : Ssat Middle Level Quantitative (Math)

Example Question #521 : Number & Operations With Fractions

Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #524 : Number & Operations With Fractions

Example Question #3 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #2 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

All Common Core: 5th Grade Math Resources

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