SSAT Upper Level Quantitative - How to divide fractions

1

$\frac{5}{6}\div \frac{1}{12}=?$

$\frac{5}{72}$

$\frac{1}{2}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{5}{6}\div \frac{1}{12}=\frac{5}{6}\times\frac{12}{1}=\frac{60}{6}=10$

2

$\frac{4}{5}\div\frac{7}{8}=?$

$\frac{32}{35}$

$\frac{14}{27}$

$\frac{7}{20}$

$\frac{35}{32}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{4}{5}\div\frac{7}{8}=\frac{4}{5}\times\frac{8}{7}=\frac{32}{35}$

3

$\frac{5}{7}\div\frac{1}{14}=?$

$\frac{1}{10}$

$\frac{5}{98}$

$\frac{7}{60}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{5}{7}\div\frac{1}{14}=\frac{5}{7}\times\frac{14}{1}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{5}{7}\times\frac{14}{1}=\frac{5}{1}\times\frac{2}{1}=\frac{10}{1}=10$

4

$\frac{7}{9}\div\frac{2}{3}=?$

$\frac{7}{6}$

$\frac{6}{7}$

$\frac{14}{27}$

$\frac{15}{27}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{7}{9}\div\frac{2}{3}=\frac{7}{9}\times\frac{3}{2}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{7}{9}\times\frac{3}{2}=\frac{7}{3}\times\frac{1}{2}=\frac{7}{6}$

5

$\frac{12}{7}\div\frac{3}{4}=?$

$\frac{16}{7}$

$\frac{7}{16}$

$\frac{18}{7}$

$\frac{9}{7}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{12}{7}\div\frac{3}{4}=\frac{12}{7}\times\frac{4}{3}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{12}{7}\times\frac{4}{3}=\frac{4}{7}\times\frac{4}{1}=\frac{16}{7}$

6

$\frac{9}{10}\div\frac{4}{5}=?$

$\frac{9}{8}$

$\frac{8}{9}$

$\frac{18}{25}$

$\frac{13}{15}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{9}{10}\div\frac{4}{5}=\frac{9}{10}\times\frac{5}{4}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{9}{10}\times\frac{5}{4}=\frac{9}{2}\times\frac{1}{4}=\frac{9}{8}$

7

$\frac{11}{12}\div\frac{4}{9}=?$

$\frac{33}{16}$

$\frac{48}{99}$

$\frac{5}{6}$

$\frac{44}{108}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{11}{12}\div\frac{4}{9}=\frac{11}{12}\times\frac{9}{4}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{11}{12}\times\frac{9}{4}==\frac{11}{4}\times\frac{3}{4}=\frac{33}{16}$

8

$\frac{1}{12}\div\frac{5}{6}=?$

$\frac{1}{10}$

$\frac{5}{72}$

$\frac{1}{3}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{1}{12}\div\frac{5}{6}=\frac{1}{12}\times\frac{6}{5}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{1}{12}\times\frac{6}{5}=\frac{1}{2}\times\frac{1}{5}=\frac{1}{10}$

9

$\frac{5}{7}\div\frac{1}{12}=?$

$\frac{60}{7}$

$\frac{7}{60}$

$\frac{6}{19}$

$\frac{5}{84}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{5}{7}\div\frac{1}{12}==\frac{5}{7}\times\frac{12}{1}=\frac{60}{7}$

10

$\frac{6}{7}\div\frac{10}{3}=?$

$\frac{9}{35}$

$\frac{16}{21}$

$\frac{60}{21}$

$\frac{8}{5}$

Explanation

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{6}{7}\div\frac{10}{3}=\frac{6}{7}\times\frac{3}{10}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{6}{7}\times\frac{3}{10}=\frac{3}{7}\times\frac{3}{5}=\frac{9}{35}$

How to divide fractions

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