Divide -6÷(8/9)

$- 6 \div \frac{8}{9}$

To divide by a fraction, multiply by its reciprocal.

$- 6 (\frac{9}{8})$

Cancel the common factor of $2$ .

Factor $2$ out of $- 6$ .

$2 (- 3) \frac{9}{8}$

Factor $2$ out of $8$ .

$2 \cdot - 3 \frac{9}{2 \cdot 4}$

Cancel the common factor.

$2 \cdot - 3 \frac{9}{2 \cdot 4}$

Rewrite the expression.

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

Combine $- 3$ and $\frac{9}{4}$ .

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

Multiply $- 3$ by $9$ .

$\frac{- 27}{4}$

Move the negative in front of the fraction.

$- \frac{27}{4}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{27}{4}$

Decimal Form:

$- 6.75$

Mixed Number Form:

$- 6 \frac{3}{4}$