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

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

$\small \frac{1}{16}$

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

$\small \frac{3}{16}$

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

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

Explanation

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

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.

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

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

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

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

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

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

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

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.

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

$\small \frac{3}{7}\div4$

$\small \frac{3}{28}$

$\small \frac{4}{27}$

$\small \frac{9}{31}$

$\small \frac{12}{7}$

$\small \frac{7}{12}$

Explanation

$\small \frac{3}{7}\div4$

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.

$\small \frac{3}{7}\times\frac{1}{4}=\frac{3}{28}$

$\small \frac{3}{8}\div5$

$\small \frac{3}{40}$

$\small \frac{4}{39}$

$\small \frac{2}{17}$

$\small \frac{5}{19}$

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

Explanation

$\small \frac{3}{8}\div5$

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.

$\small \frac{3}{8}\times\frac{1}{5}=\frac{3}{40}$

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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.

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

Solve:

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

$1\frac{1}{4}$

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

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

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

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

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.

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

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

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

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

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

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

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

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.

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

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

$\small \frac{5}{36}$

$\small \frac{6}{36}$

$\small \frac{1}{6}$

$\small \frac{7}{9}$

$\small \frac{9}{27}$

Explanation

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

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.

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

Solve:

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

$\frac{3}{4}$

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

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

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

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

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.

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