Divide (9/4)÷(-3/4)

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

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

Factor $3$ out of $- 3$ .

$\frac{3 \cdot 3}{4} \cdot \frac{4}{3 \cdot - 1}$

Cancel the common factor.

$\frac{3 \cdot 3}{4} \cdot \frac{4}{3 \cdot - 1}$

Rewrite the expression.

$\frac{3}{4} \cdot \frac{4}{- 1}$

Step 3

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4}{- 1}$

Rewrite the expression.

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

Step 4

Combine $3$ and $\frac{1}{- 1}$ .

$\frac{3}{- 1}$

Step 5

Divide $3$ by $- 1$ .

$- 3$