Divide (4/44)÷(8/-20)

$\frac{4}{44} \div \frac{8}{- 20}$

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{44} \cdot \frac{- 20}{8}$

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$\frac{4}{44} \cdot \frac{- 20}{4 (2)}$

Cancel the common factor.

$\frac{4}{44} \cdot \frac{- 20}{4 \cdot 2}$

Rewrite the expression.

$\frac{1}{44} \cdot \frac{- 20}{2}$

Cancel the common factor of $4$ .

Factor $4$ out of $44$ .

$\frac{1}{4 (11)} \cdot \frac{- 20}{2}$

Factor $4$ out of $- 20$ .

$\frac{1}{4 \cdot 11} \cdot \frac{4 \cdot - 5}{2}$

Cancel the common factor.

$\frac{1}{4 \cdot 11} \cdot \frac{4 \cdot - 5}{2}$

Rewrite the expression.

$\frac{1}{11} \cdot \frac{- 5}{2}$

Multiply $\frac{1}{11}$ by $\frac{- 5}{2}$ .

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

Multiply $11$ by $2$ .

$\frac{- 5}{22}$

Move the negative in front of the fraction.

$- \frac{5}{22}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{22}$

Decimal Form:

$- 0.2\overline{27}$