Divide (8/5)÷(-12/25)

$\frac{8}{5} \div (- \frac{12}{25})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{8}{5} (- \frac{25}{12})$

Step 2

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{25}{12}$ into the numerator.

$\frac{8}{5} \cdot \frac{- 25}{12}$

Factor $4$ out of $8$ .

$\frac{4 (2)}{5} \cdot \frac{- 25}{12}$

Factor $4$ out of $12$ .

$\frac{4 \cdot 2}{5} \cdot \frac{- 25}{4 \cdot 3}$

Cancel the common factor.

$\frac{4 \cdot 2}{5} \cdot \frac{- 25}{4 \cdot 3}$

Rewrite the expression.

$\frac{2}{5} \cdot \frac{- 25}{3}$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $- 25$ .

$\frac{2}{5} \cdot \frac{5 (- 5)}{3}$

Cancel the common factor.

$\frac{2}{5} \cdot \frac{5 \cdot - 5}{3}$

Rewrite the expression.

$2 (\frac{- 5}{3})$

Step 4

Combine $2$ and $\frac{- 5}{3}$ .

$\frac{2 \cdot - 5}{3}$

Step 5

Multiply $2$ by $- 5$ .

$\frac{- 10}{3}$

Step 6

Move the negative in front of the fraction.

$- \frac{10}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{10}{3}$

Decimal Form:

$- 3.\overline{3}$

Mixed Number Form:

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