Divide (-4/3)÷(-12)

$- \frac{4}{3} \div (- 12)$

Step 1

Rewrite the division as a fraction.

$\frac{- \frac{4}{3}}{- 12}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- \frac{4}{3} \cdot \frac{1}{- 12}$

Step 3

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$\frac{- 4}{3} \cdot \frac{1}{- 12}$

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{3} \cdot \frac{1}{- 12}$

Factor $4$ out of $- 12$ .

$\frac{4 \cdot - 1}{3} \cdot \frac{1}{4 \cdot - 3}$

Cancel the common factor.

$\frac{4 \cdot - 1}{3} \cdot \frac{1}{4 \cdot - 3}$

Rewrite the expression.

$\frac{- 1}{3} \cdot \frac{1}{- 3}$

Step 4

Multiply $\frac{- 1}{3}$ by $\frac{1}{- 3}$ .

$\frac{- 1}{3 \cdot - 3}$

Step 5

Multiply $3$ by $- 3$ .

$\frac{- 1}{- 9}$

Step 6

Dividing two negative values results in a positive value.

$\frac{1}{9}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9}$

Decimal Form:

$0.\overline{1}$