Divide (9/11)÷(-3/2)

$\frac{9}{11} \div (- \frac{3}{2})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{11} (- \frac{2}{3})$

Step 2

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$\frac{9}{11} \cdot \frac{- 2}{3}$

Factor $3$ out of $9$ .

$\frac{3 (3)}{11} \cdot \frac{- 2}{3}$

Cancel the common factor.

$\frac{3 \cdot 3}{11} \cdot \frac{- 2}{3}$

Rewrite the expression.

$\frac{3}{11} \cdot - 2$

Step 3

Combine $\frac{3}{11}$ and $- 2$ .

$\frac{3 \cdot - 2}{11}$

Step 4

Multiply $3$ by $- 2$ .

$\frac{- 6}{11}$

Step 5

Move the negative in front of the fraction.

$- \frac{6}{11}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{6}{11}$

Decimal Form:

$- 0.\overline{54}$