Divide -9÷(-6/7)

$- 9 \div (- \frac{6}{7})$

To divide by a fraction, multiply by its reciprocal.

$- 9 (- \frac{7}{6})$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{7}{6}$ into the numerator.

$- 9 (\frac{- 7}{6})$

Factor $3$ out of $- 9$ .

$3 (- 3) \frac{- 7}{6}$

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$- 3 (\frac{- 7}{2})$

Combine $- 3$ and $\frac{- 7}{2}$ .

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

Multiply $- 3$ by $- 7$ .

$\frac{21}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{2}$

Decimal Form:

$10.5$

Mixed Number Form:

$10 \frac{1}{2}$