What is 5/14 \div 7/8 ?

The solution to 5/14 \div 7/8 is 20/49

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5/14 \div 7/8

\frac{5}{14} \div \frac{7}{8}

\frac{20}{49}

Solution steps

\frac{5}{14} \div \frac{7}{8}

Apply the fraction rule:

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

= \frac{5}{14} \times \frac{8}{7}

Cross-cancel common factor:

2

= \frac{5}{7} \times \frac{4}{7}

Multiply fractions:

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

= \frac{5 \times 4}{7 \times 7}

Multiply the numbers:

5 \times 4 = 20

= \frac{20}{7 \times 7}

Multiply the numbers:

7 \times 7 = 49

= \frac{20}{49}

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