What is -5/7 \div 1/5 ?

The solution to -5/7 \div 1/5 is -25/7

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-5/7 \div 1/5

- \frac{5}{7} \div \frac{1}{5}

- \frac{25}{7}

Solution steps

- \frac{5}{7} \div \frac{1}{5}

Apply the fraction rule:

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

= - \frac{5}{7} \times \frac{5}{1}

Apply rule

\frac{a}{1} = a

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

Convert element to fraction:

5 = \frac{5}{1}

= \frac{5}{7} \times \frac{5}{1}

Multiply fractions:

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

= - \frac{5 \times 5}{7 \times 1}

Multiply the numbers:

5 \times 5 = 25

= - \frac{25}{7 \times 1}

Multiply the numbers:

7 \times 1 = 7

= - \frac{25}{7}

4^{- 8}

\frac{12 x yz}{144 yz}

216 x^{3} - 1

4 b^{2}

- 4 x (6 x - 7)