Simplify (4/5)/(-3/5)

$\frac{\frac{4}{5}}{- \frac{3}{5}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{5} (- \frac{5}{3})$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{3}$ into the numerator.

$\frac{4}{5} \cdot \frac{- 5}{3}$

Factor $5$ out of $- 5$ .

$\frac{4}{5} \cdot \frac{5 (- 1)}{3}$

Cancel the common factor.

$\frac{4}{5} \cdot \frac{5 \cdot - 1}{3}$

Rewrite the expression.

$4 (\frac{- 1}{3})$

Combine $4$ and $\frac{- 1}{3}$ .

$\frac{4 \cdot - 1}{3}$

Simplify the expression.

Multiply $4$ by $- 1$ .

$\frac{- 4}{3}$

Move the negative in front of the fraction.

$- \frac{4}{3}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{3}$

Decimal Form:

$- 1.\overline{3}$

Mixed Number Form:

$- 1 \frac{1}{3}$