Divide -8÷(12/13)

$- 8 \div \frac{12}{13}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- 8 (\frac{13}{12})$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $- 8$ .

$4 (- 2) \frac{13}{12}$

Factor $4$ out of $12$ .

$4 \cdot - 2 \frac{13}{4 \cdot 3}$

Cancel the common factor.

$4 \cdot - 2 \frac{13}{4 \cdot 3}$

Rewrite the expression.

$- 2 (\frac{13}{3})$

Step 3

Combine $- 2$ and $\frac{13}{3}$ .

$\frac{- 2 \cdot 13}{3}$

Step 4

Multiply $- 2$ by $13$ .

$\frac{- 26}{3}$

Step 5

Move the negative in front of the fraction.

$- \frac{26}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{26}{3}$

Decimal Form:

$- 8.\overline{6}$

Mixed Number Form:

$- 8 \frac{2}{3}$