Evaluate -5/8+1/4(-4/5)

$- \frac{5}{8} + \frac{1}{4} (- \frac{4}{5})$

Simplify each term.

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{4}{5}$ into the numerator.

$- \frac{5}{8} + \frac{1}{4} \cdot \frac{- 4}{5}$

Factor $4$ out of $- 4$ .

$- \frac{5}{8} + \frac{1}{4} \cdot \frac{4 (- 1)}{5}$

Cancel the common factor.

$- \frac{5}{8} + \frac{1}{4} \cdot \frac{4 \cdot - 1}{5}$

Rewrite the expression.

$- \frac{5}{8} + \frac{- 1}{5}$

Move the negative in front of the fraction.

$- \frac{5}{8} - \frac{1}{5}$

To write $- \frac{5}{8}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{5}{8} \cdot \frac{5}{5} - \frac{1}{5}$

To write $- \frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- \frac{5}{8} \cdot \frac{5}{5} - \frac{1}{5} \cdot \frac{8}{8}$

Write each expression with a common denominator of $40$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{8}$ by $\frac{5}{5}$ .

$- \frac{5 \cdot 5}{8 \cdot 5} - \frac{1}{5} \cdot \frac{8}{8}$

Multiply $8$ by $5$ .

$- \frac{5 \cdot 5}{40} - \frac{1}{5} \cdot \frac{8}{8}$

Multiply $\frac{1}{5}$ by $\frac{8}{8}$ .

$- \frac{5 \cdot 5}{40} - \frac{8}{5 \cdot 8}$

Multiply $5$ by $8$ .

$- \frac{5 \cdot 5}{40} - \frac{8}{40}$

Combine the numerators over the common denominator.

$\frac{- 5 \cdot 5 - 8}{40}$

Simplify the numerator.

Multiply $- 5$ by $5$ .

$\frac{- 25 - 8}{40}$

Subtract $8$ from $- 25$ .

$\frac{- 33}{40}$

Move the negative in front of the fraction.

$- \frac{33}{40}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{33}{40}$

Decimal Form:

$- 0.825$