Divide (-4/7)÷(8/5)

$- \frac{4}{7} \div \frac{8}{5}$

To divide by a fraction, multiply by its reciprocal.

$- \frac{4}{7} \cdot \frac{5}{8}$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$\frac{- 4}{7} \cdot \frac{5}{8}$

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{7} \cdot \frac{5}{8}$

Factor $4$ out of $8$ .

$\frac{4 \cdot - 1}{7} \cdot \frac{5}{4 \cdot 2}$

Cancel the common factor.

$\frac{4 \cdot - 1}{7} \cdot \frac{5}{4 \cdot 2}$

Rewrite the expression.

$\frac{- 1}{7} \cdot \frac{5}{2}$

Multiply $\frac{- 1}{7}$ by $\frac{5}{2}$ .

$\frac{- 1 \cdot 5}{7 \cdot 2}$

Multiply $- 1$ by $5$ .

$\frac{- 5}{7 \cdot 2}$

Multiply $7$ by $2$ .

$\frac{- 5}{14}$

Move the negative in front of the fraction.

$- \frac{5}{14}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{14}$

Decimal Form:

$- 0.3\overline{571428}$