What is (-3)/4 \div 5/8 ?

The solution to (-3)/4 \div 5/8 is -6/5

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(-3)/4 \div 5/8

\frac{- 3}{4} \div \frac{5}{8}

- \frac{6}{5}

Solution steps

\frac{- 3}{4} \div \frac{5}{8}

Apply the fraction rule:

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

= \frac{- 3}{4} \times \frac{8}{5}

Cross-cancel common factor:

4

= \frac{- 3}{1} \times \frac{2}{5}

Multiply fractions:

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

= \frac{( - 3 ) \times 2}{1 \times 5}

Remove parentheses:

(- a) = - a

= \frac{- 3 \times 2}{1 \times 5}

Multiply the numbers:

3 \times 2 = 6

= \frac{- 6}{1 \times 5}

Multiply the numbers:

1 \times 5 = 5

= \frac{- 6}{5}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{6}{5}

8 + 3 (2 x - 2)

\frac{4 + 5 i}{2 + 6 i}

(4 x) (x)