Divide (27/32)÷(-9/4)

$\frac{27}{32} \div (- \frac{9}{4})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{27}{32} (- \frac{4}{9})$

Step 2

Cancel the common factor of $9$ .

Move the leading negative in $- \frac{4}{9}$ into the numerator.

$\frac{27}{32} \cdot \frac{- 4}{9}$

Factor $9$ out of $27$ .

$\frac{9 (3)}{32} \cdot \frac{- 4}{9}$

Cancel the common factor.

$\frac{9 \cdot 3}{32} \cdot \frac{- 4}{9}$

Rewrite the expression.

$\frac{3}{32} \cdot - 4$

Step 3

Cancel the common factor of $4$ .

Factor $4$ out of $32$ .

$\frac{3}{4 (8)} \cdot - 4$

Factor $4$ out of $- 4$ .

$\frac{3}{4 \cdot 8} \cdot (4 \cdot - 1)$

Cancel the common factor.

$\frac{3}{4 \cdot 8} \cdot (4 \cdot - 1)$

Rewrite the expression.

$\frac{3}{8} \cdot - 1$

Step 4

Combine $\frac{3}{8}$ and $- 1$ .

$\frac{3 \cdot - 1}{8}$

Step 5

Multiply $3$ by $- 1$ .

$\frac{- 3}{8}$

Step 6

Move the negative in front of the fraction.

$- \frac{3}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{8}$

Decimal Form:

$- 0.375$