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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 #1 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Which of the following statements is FALSE?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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Example Question #1 : 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:

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

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

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

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

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

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

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

Possible Answers:

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

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

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

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

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

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

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

Possible Answers:

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

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

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

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

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

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:

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

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

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

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

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

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

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

Possible Answers:

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

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

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

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

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

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

$\small \frac{5}{6}\div\frac{1}{3}$

Possible Answers:

$\small \frac{7}{2}$

$\small \frac{18}{5}$

$\small \frac{15}{6}$

$\small \frac{5}{18}$

$\small \frac{6}{15}$

Correct answer:

$\small \frac{15}{6}$

Explanation:

$\small \frac{5}{6}\div\frac{1}{3}$

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.

$\small \frac{5}{6}\times\frac{3}{1}=\frac{15}{6}$

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Example Question #6 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{4}{11}\div\frac{3}{1}$

Possible Answers:

$\small \frac{5}{8}$

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

$\small \frac{5}{12}$

$\small \frac{4}{33}$

$\small \frac{12}{11}$

Correct answer:

$\small \frac{4}{33}$

Explanation:

$\small \frac{4}{11}\div\frac{3}{1}$

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.

$\small \small \frac{4}{11}\times\frac{1}{3}=\frac{4}{33}$

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Example Question #173 : Fractions

$\small \frac{12}{13}\div\frac{2}{1}$

Possible Answers:

$\small \frac{7}{21}$

$\small \frac{10}{22}$

$\small \frac{14}{32}$

$\small \frac{12}{26}$

$\small \frac{9}{28}$

Correct answer:

$\small \frac{12}{26}$

Explanation:

$\small \frac{12}{13}\div\frac{2}{1}$

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.

$\small \frac{12}{13}\times\frac{1}{2}=\frac{12}{26}$

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Example Question #6 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

$\small \frac{2}{7}\div3$

Possible Answers:

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

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

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

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

$\small \frac{6}{7}$

Correct answer:

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

Explanation:

$\small \frac{2}{7}\div3$

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.

$\small \small \frac{2}{7}\times\frac{1}{3}=\frac{2}{21}$

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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 #1 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #1 : 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

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

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

Example Question #6 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

Example Question #173 : Fractions

Example Question #6 : Divide Fractions And Whole Numbers: Ccss.Math.Content.5.Nf.B.7

All Common Core: 5th Grade Math Resources

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