What is -18\div 9/5 ?

The solution to -18\div 9/5 is -10

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-18\div 9/5

- 18 \div \frac{9}{5}

- 10

Solution steps

- 18 \div \frac{9}{5}

Convert element to fraction:

18 = \frac{18}{1}

= - \frac{18}{1} \div \frac{9}{5}

Apply the fraction rule:

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

= - \frac{18}{1} \times \frac{5}{9}

Cross-cancel common factor:

9

= \frac{2}{1} \times \frac{5}{1}

Multiply fractions:

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

= - \frac{2 \times 5}{1 \times 1}

Multiply the numbers:

2 \times 5 = 10

= - \frac{10}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= - \frac{10}{1}

Apply rule

\frac{a}{1} = a

= - 10

- 5^{3}

2 \cdot (- 2)

(x - y) (x + y)

(x + 6) (x - 6)

\frac{25}{2}