Divide (-2 4/5)÷(-7)

$- 2 \frac{4}{5} \div (- 7)$

Convert $2 \frac{4}{5}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$- (2 + \frac{4}{5}) \div (- 7)$

Add $2$ and $\frac{4}{5}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- (2 \cdot \frac{5}{5} + \frac{4}{5}) \div (- 7)$

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

$- (\frac{2 \cdot 5}{5} + \frac{4}{5}) \div (- 7)$

Combine the numerators over the common denominator.

$- \frac{2 \cdot 5 + 4}{5} \div (- 7)$

Simplify the numerator.

Multiply $2$ by $5$ .

$- \frac{10 + 4}{5} \div (- 7)$

Add $10$ and $4$ .

$- \frac{14}{5} \div (- 7)$

Rewrite the division as a fraction.

$\frac{- \frac{14}{5}}{- 7}$

Multiply the numerator by the reciprocal of the denominator.

$- \frac{14}{5} \cdot \frac{1}{- 7}$

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{14}{5}$ into the numerator.

$\frac{- 14}{5} \cdot \frac{1}{- 7}$

Factor $7$ out of $- 14$ .

$\frac{7 (- 2)}{5} \cdot \frac{1}{- 7}$

Factor $7$ out of $- 7$ .

$\frac{7 \cdot - 2}{5} \cdot \frac{1}{7 \cdot - 1}$

Cancel the common factor.

$\frac{7 \cdot - 2}{5} \cdot \frac{1}{7 \cdot - 1}$

Rewrite the expression.

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

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

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

Multiply $5$ by $- 1$ .

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

Dividing two negative values results in a positive value.

$\frac{2}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{5}$

Decimal Form:

$0.4$