Divide (8/9)÷(2/3)

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

To divide by a fraction, multiply by its reciprocal.

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

Cancel the common factor of $2$ .

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.

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

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.

$\frac{4}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$