Evaluate (-7/4)(-8/7)

$(- \frac{7}{4}) (- \frac{8}{7})$

Step 1

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{7}{4}$ into the numerator.

$\frac{- 7}{4} (- \frac{8}{7})$

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

$\frac{- 7}{4} \cdot \frac{- 8}{7}$

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{4} \cdot \frac{- 8}{7}$

Cancel the common factor.

$\frac{7 \cdot - 1}{4} \cdot \frac{- 8}{7}$

Rewrite the expression.

$\frac{- 1}{4} \cdot - 8$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $- 8$ .

$\frac{- 1}{4} \cdot (4 (- 2))$

Cancel the common factor.

$\frac{- 1}{4} \cdot (4 \cdot - 2)$

Rewrite the expression.

$- 1 \cdot - 2$

Step 3

Multiply $- 1$ by $- 2$ .

$2$