Divide (7/15)÷(-11/6)

$\frac{7}{15} \div (- \frac{11}{6})$

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{15} (- \frac{6}{11})$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{6}{11}$ into the numerator.

$\frac{7}{15} \cdot \frac{- 6}{11}$

Factor $3$ out of $15$ .

$\frac{7}{3 (5)} \cdot \frac{- 6}{11}$

Factor $3$ out of $- 6$ .

$\frac{7}{3 \cdot 5} \cdot \frac{3 \cdot - 2}{11}$

Cancel the common factor.

$\frac{7}{3 \cdot 5} \cdot \frac{3 \cdot - 2}{11}$

Rewrite the expression.

$\frac{7}{5} \cdot \frac{- 2}{11}$

Multiply $\frac{7}{5}$ by $\frac{- 2}{11}$ .

$\frac{7 \cdot - 2}{5 \cdot 11}$

Multiply $7$ by $- 2$ .

$\frac{- 14}{5 \cdot 11}$

Multiply $5$ by $11$ .

$\frac{- 14}{55}$

Move the negative in front of the fraction.

$- \frac{14}{55}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{14}{55}$

Decimal Form:

$- 0.2\overline{54}$