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Evaluate (-4/5)(6/9)

$(\frac{- 4}{5}) (\frac{6}{9})$

Step 1

Move the negative in front of the fraction.

$- \frac{4}{5} \cdot \frac{6}{9}$

Step 2

Cancel the common factor of $6$ and $9$ .

Factor $3$ out of $6$ .

$- \frac{4}{5} \cdot \frac{3 (2)}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

$- \frac{4}{5} \cdot \frac{3 \cdot 2}{3 \cdot 3}$

Cancel the common factor.

$- \frac{4}{5} \cdot \frac{3 \cdot 2}{3 \cdot 3}$

Rewrite the expression.

$- \frac{4}{5} \cdot \frac{2}{3}$

$- \frac{4}{5} \cdot \frac{2}{3}$

$- \frac{4}{5} \cdot \frac{2}{3}$

Step 3

Multiply $- \frac{4}{5} \cdot \frac{2}{3}$ .

Multiply $\frac{2}{3}$ by $\frac{4}{5}$ .

$- \frac{2 \cdot 4}{3 \cdot 5}$

Multiply $2$ by $4$ .

$- \frac{8}{3 \cdot 5}$

Multiply $3$ by $5$ .

$- \frac{8}{15}$

$- \frac{8}{15}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{8}{15}$

Decimal Form:

$- 0.5\overline{3}$

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