What is 4/5 \div 1/10 ?

The solution to 4/5 \div 1/10 is 8

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4/5 \div 1/10

\frac{4}{5} \div \frac{1}{10}

8

Solution steps

\frac{4}{5} \div \frac{1}{10}

Apply the fraction rule:

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

= \frac{4}{5} \times \frac{10}{1}

Cross-cancel common factor:

5

= \frac{4}{1} \times \frac{2}{1}

Multiply fractions:

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

= \frac{4 \times 2}{1 \times 1}

Multiply the numbers:

4 \times 2 = 8

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

Multiply the numbers:

1 \times 1 = 1

= \frac{8}{1}

Apply rule

\frac{a}{1} = a

= 8

\frac{5}{3}

\frac{10}{2}

\frac{25}{24}

\frac{25}{- 5}

\frac{7}{8} - \frac{5}{6}