Evaluate (-7/8)(-8/21)

$(- \frac{7}{8}) (- \frac{8}{21})$

Step 1

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{7}{8}$ into the numerator.

$\frac{- 7}{8} (- \frac{8}{21})$

Move the leading negative in $- \frac{8}{21}$ into the numerator.

$\frac{- 7}{8} \cdot \frac{- 8}{21}$

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{8} \cdot \frac{- 8}{21}$

Factor $7$ out of $21$ .

$\frac{7 \cdot - 1}{8} \cdot \frac{- 8}{7 \cdot 3}$

Cancel the common factor.

$\frac{7 \cdot - 1}{8} \cdot \frac{- 8}{7 \cdot 3}$

Rewrite the expression.

$\frac{- 1}{8} \cdot \frac{- 8}{3}$

Step 2

Cancel the common factor of $8$ .

Factor $8$ out of $- 8$ .

$\frac{- 1}{8} \cdot \frac{8 (- 1)}{3}$

Cancel the common factor.

$\frac{- 1}{8} \cdot \frac{8 \cdot - 1}{3}$

Rewrite the expression.

$- 1 (\frac{- 1}{3})$

Step 3

Move the negative in front of the fraction.

$- 1 (- \frac{1}{3})$

Step 4

Multiply $- 1 (- \frac{1}{3})$ .

Multiply $- 1$ by $- 1$ .

$1 (\frac{1}{3})$

Multiply $\frac{1}{3}$ by $1$ .

$\frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$