What is 7/8 \div 1/56 ?

The solution to 7/8 \div 1/56 is 49

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7/8 \div 1/56

\frac{7}{8} \div \frac{1}{56}

49

Solution steps

\frac{7}{8} \div \frac{1}{56}

Apply the fraction rule:

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

= \frac{7}{8} \times \frac{56}{1}

Cross-cancel common factor:

8

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

Multiply fractions:

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

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

Multiply the numbers:

7 \times 7 = 49

= \frac{49}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{49}{1}

Apply rule

\frac{a}{1} = a

= 49

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