Evaluate (-2/7)(14/-9)

$(- \frac{2}{7}) (\frac{14}{- 9})$

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{2}{7}$ into the numerator.

$\frac{- 2}{7} \cdot \frac{14}{- 9}$

Factor $7$ out of $14$ .

$\frac{- 2}{7} \cdot \frac{7 (2)}{- 9}$

Cancel the common factor.

$\frac{- 2}{7} \cdot \frac{7 \cdot 2}{- 9}$

Rewrite the expression.

$- 2 (\frac{2}{- 9})$

Combine $- 2$ and $\frac{2}{- 9}$ .

$\frac{- 2 \cdot 2}{- 9}$

Multiply $- 2$ by $2$ .

$\frac{- 4}{- 9}$

Dividing two negative values results in a positive value.

$\frac{4}{9}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{9}$

Decimal Form:

$0.\overline{4}$