Divide (9/4)÷(3/2)

$\frac{9}{4} \div \frac{3}{2}$

To divide by a fraction, multiply by its reciprocal.

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

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$