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Common Core: 5th Grade Math : Divide Fractions and Whole Numbers: CCSS.Math.Content.5.NF.B.7

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

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All Common Core: 5th Grade Math Resources

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Example Questions

Example Question #185 : Operations With Fractions And Whole Numbers

$\small \frac{4}{9}\div5$

Possible Answers:

$\small \frac{4}{45}$

$\small \frac{9}{20}$

$\small \frac{20}9{}$

$\small \frac{7}{41}$

$\small \frac{5}{39}$

Correct answer:

$\small \frac{4}{45}$

Explanation:

$\small \frac{4}{9}\div5$

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.

$\small \frac{4}{9}\times\frac{1}{5}=\frac{4}{45}$

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Example Question #21 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Solve:

$\small \frac{3}{4}\div\frac{2}{3}$

Possible Answers:

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

$\small \frac{8}{9}$

$\small \frac{7}{8}$

$\small \frac{8}{7}$

$1\frac{1}{}8$

Correct answer:

$1\frac{1}{}8$

Explanation:

$\small \frac{3}{4}\div\frac{2}{3}$

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.

$\small \frac{3}{4}\times\frac{3}{2}=\frac{9}{8}$

$\frac{9}{8}=1\frac{1}{8}$ because can go into one time with left over.

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Example Question #22 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Solve:

$\small \frac{5}{8}\div\frac{1}{2}$

Possible Answers:

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

$\small \frac{8}{10}$

$1\frac{1}{4}$

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

$\small \frac{5}{11}$

Correct answer:

$1\frac{1}{4}$

Explanation:

$\small \frac{5}{8}\div\frac{1}{2}$

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.

$\small \frac{5}{8}\times\frac{2}{1}=\frac{10}{8}$

$\frac{10}{8}=1\frac{2}{8}=1\frac{1}{4}$ because can go into one time with left over.

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

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Example Question #23 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Solve:

$\small \frac{3}{12}\div\frac{1}{3}$

Possible Answers:

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

$\small \frac{3}{36}$

$\small \frac{12}9{}$

$\small \frac{36}{3}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\small \frac{3}{12}\div\frac{1}{3}$

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.

$\small \small \frac{3}{12}\times\frac{3}{1}=\frac{9}{12}$

$\frac{9}{12}$ can be reduced because both and are divisible by

$\frac{9}{12}\div\frac{3}{3}=\frac{3}{4}$

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Example Question #24 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Solve:

$\small \frac{7}{8}\div\frac{1}{4}$

Possible Answers:

$3\frac{1}{2}$

$\small \frac{7}{32}$

$\small \frac{32}{7}$

$\small \frac{9}{15}$

$\small \frac{8}{28}$

Correct answer:

$3\frac{1}{2}$

Explanation:

$\small \frac{7}{8}\div\frac{1}{4}$

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.

$\small \frac{7}{8}\times\frac{4}{1}=\frac{28}{8}$

$\frac{28}{8}=3\frac{4}{8}=3\frac{1}{2}$ because can go into three times, with left over.

$\frac{4}{8}$ can be reduced because both and are divisible by .

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

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Common Core: 5th Grade Math : Divide Fractions and Whole Numbers: CCSS.Math.Content.5.NF.B.7

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #185 : Operations With Fractions And Whole Numbers

Example Question #21 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #22 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #23 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #24 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

All Common Core: 5th Grade Math Resources

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