What is 7/10 \div 5/16 ?

The solution to 7/10 \div 5/16 is 56/25

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7/10 \div 5/16

\frac{7}{10} \div \frac{5}{16}

\frac{56}{25}

Solution steps

\frac{7}{10} \div \frac{5}{16}

Apply the fraction rule:

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

= \frac{7}{10} \times \frac{16}{5}

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

7 \times 8 = 56

= \frac{56}{5 \times 5}

Multiply the numbers:

5 \times 5 = 25

= \frac{56}{25}

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