What is 7/8 \div 14/9 ?

The solution to 7/8 \div 14/9 is 9/16

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7/8 \div 14/9

\frac{7}{8} \div \frac{14}{9}

\frac{9}{16}

Solution steps

\frac{7}{8} \div \frac{14}{9}

Apply the fraction rule:

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

= \frac{7}{8} \times \frac{9}{14}

Cross-cancel common factor:

7

= \frac{1}{8} \times \frac{9}{2}

Multiply fractions:

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

= \frac{1 \times 9}{8 \times 2}

Multiply the numbers:

1 \times 9 = 9

= \frac{9}{8 \times 2}

Multiply the numbers:

8 \times 2 = 16

= \frac{9}{16}

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