What is 9/11 \div 7/22 ?

The solution to 9/11 \div 7/22 is 18/7

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9/11 \div 7/22

\frac{9}{11} \div \frac{7}{22}

\frac{18}{7}

Solution steps

\frac{9}{11} \div \frac{7}{22}

Apply the fraction rule:

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

= \frac{9}{11} \times \frac{22}{7}

Cross-cancel common factor:

11

= \frac{9}{1} \times \frac{2}{7}

Multiply fractions:

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

= \frac{9 \times 2}{1 \times 7}

Multiply the numbers:

9 \times 2 = 18

= \frac{18}{1 \times 7}

Multiply the numbers:

1 \times 7 = 7

= \frac{18}{7}

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