Divide 4÷(-10/11)

$4 \div (- \frac{10}{11})$

To divide by a fraction, multiply by its reciprocal.

$4 (- \frac{11}{10})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{11}{10}$ into the numerator.

$4 (\frac{- 11}{10})$

Factor $2$ out of $4$ .

$2 (2) \frac{- 11}{10}$

Factor $2$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

$2 (\frac{- 11}{5})$

Combine $2$ and $\frac{- 11}{5}$ .

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

Multiply $2$ by $- 11$ .

$\frac{- 22}{5}$

Move the negative in front of the fraction.

$- \frac{22}{5}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{22}{5}$

Decimal Form:

$- 4.4$

Mixed Number Form:

$- 4 \frac{2}{5}$