What is 7/12 \div 2/9 ?

The solution to 7/12 \div 2/9 is 21/8

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7/12 \div 2/9

\frac{7}{12} \div \frac{2}{9}

\frac{21}{8}

Solution steps

\frac{7}{12} \div \frac{2}{9}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{7}{12} \times \frac{9}{2}

Cross-cancel common factor:

3

= \frac{7}{4} \times \frac{3}{2}

Multiply fractions:

\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}

= \frac{7 \times 3}{4 \times 2}

Multiply the numbers:

7 \times 3 = 21

= \frac{21}{4 \times 2}

Multiply the numbers:

4 \times 2 = 8

= \frac{21}{8}

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