Evaluate (-8/5)÷(-24/25)

$- \frac{8}{5} \div (- \frac{24}{25})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{8}{5} (- \frac{25}{24})$

Step 2

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{8}{5}$ into the numerator.

$\frac{- 8}{5} (- \frac{25}{24})$

Move the leading negative in $- \frac{25}{24}$ into the numerator.

$\frac{- 8}{5} \cdot \frac{- 25}{24}$

Factor $8$ out of $- 8$ .

$\frac{8 (- 1)}{5} \cdot \frac{- 25}{24}$

Factor $8$ out of $24$ .

$\frac{8 \cdot - 1}{5} \cdot \frac{- 25}{8 \cdot 3}$

Cancel the common factor.

$\frac{8 \cdot - 1}{5} \cdot \frac{- 25}{8 \cdot 3}$

Rewrite the expression.

$\frac{- 1}{5} \cdot \frac{- 25}{3}$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $- 25$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 4

Move the negative in front of the fraction.

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

Step 5

Multiply $- - \frac{5}{3}$ .

Multiply $- 1$ by $- 1$ .

$1 (\frac{5}{3})$

Multiply $\frac{5}{3}$ by $1$ .

$\frac{5}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{3}$

Decimal Form:

$1.\overline{6}$

Mixed Number Form:

$1 \frac{2}{3}$