Divide (-8/9)÷(2/3)

$- \frac{8}{9} \div \frac{2}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{8}{9} \cdot \frac{3}{2}$

Step 2

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{8}{9}$ into the numerator.

$\frac{- 8}{9} \cdot \frac{3}{2}$

Factor $2$ out of $- 8$ .

$\frac{2 (- 4)}{9} \cdot \frac{3}{2}$

Cancel the common factor.

$\frac{2 \cdot - 4}{9} \cdot \frac{3}{2}$

Rewrite the expression.

$\frac{- 4}{9} \cdot 3$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 4}{3}$

Step 4

Move the negative in front of the fraction.

$- \frac{4}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{3}$

Decimal Form:

$- 1.\overline{3}$

Mixed Number Form:

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