Divide (4/6)÷(2/9)

$\frac{4}{6} \div \frac{2}{9}$

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{6} \cdot \frac{9}{2}$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{2 (2)}{6} \cdot \frac{9}{2}$

Cancel the common factor.

$\frac{2 \cdot 2}{6} \cdot \frac{9}{2}$

Rewrite the expression.

$\frac{2}{6} \cdot 9$

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Factor $3$ out of $9$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Multiply $2$ by $3$ .

$\frac{6}{2}$

Divide $6$ by $2$ .

$3$