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

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Question

Which of the following statements is FALSE?

Answer

No explanation available

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Question

Solve the following:

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

Answer

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

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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Question

Solve:

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

Answer

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

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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Question

Solve:

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

Answer

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

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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Question

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

Answer

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

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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Question

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

Answer

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

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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Question

Solve:

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

Answer

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

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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Question

Solve:

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

Answer

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

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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Question

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

Answer

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

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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Question

$\small \frac{8}{9}\div2$

Answer

$\small \frac{8}{9}\div2$

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.

$\small \frac{8}{9}\times\frac{1}{2}=\frac{8}{18}$

$\small \frac{8}{18}$ can be reduced by dividing both sides by $\small 2.$

$\small \frac{8}{18}\div\frac{2}{2}=\frac{4}{9}$

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Question

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

Answer

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

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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Question

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

Answer

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

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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Question

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

Answer

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

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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Question

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

Answer

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

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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Question

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

Answer

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

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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Question

$\small \frac{3}{4}\div6$

Answer

$\small \frac{3}{4}\div6$

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.

$\small \frac{3}{4}\times\frac{1}{6}=\frac{3}{24}$

$\small \frac{3}{24}$ can be reduced by dividing both sides by $\small 3.$

$\small \frac{3}{24}\div \frac{3}{3}=\frac{1}{8}$

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Question

$\small \frac{1}{7}\div3$

Answer

$\small \frac{1}{7}\div3$

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.

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

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Question

$\small \small \frac{5}{9}\div4$

Answer

$\small \small \frac{5}{9}\div4$

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.

$\small \frac{5}{9}\times\frac{1}{4}=\frac{5}{36}$

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Question

$\small \frac{1}{8}\div2$

Answer

$\small \frac{1}{8}\div2$

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.

$\small \frac{1}{8}\times\frac{1}{2}=\frac{1}{16}$

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Question

$\small \frac{5}{6}\div7$

Answer

$\small \frac{5}{6}\div7$

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.

$\small \frac{5}{6}\times\frac{1}{7}=\frac{5}{42}$

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