Evaluate -5/8(-3/8-1/4)

$- \frac{5}{8} (- \frac{3}{8} - \frac{1}{4})$

Step 1

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{5}{8} \cdot (- \frac{3}{8} - \frac{1}{4} \cdot \frac{2}{2})$

Step 2

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$- \frac{5}{8} \cdot (- \frac{3}{8} - \frac{2}{4 \cdot 2})$

Multiply $4$ by $2$ .

$- \frac{5}{8} \cdot (- \frac{3}{8} - \frac{2}{8})$

Step 3

Combine the numerators over the common denominator.

$- \frac{5}{8} \cdot \frac{- 3 - 2}{8}$

Step 4

Subtract $2$ from $- 3$ .

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

Step 5

Move the negative in front of the fraction.

$- \frac{5}{8} \cdot (- \frac{5}{8})$

Step 6

Multiply $- \frac{5}{8} (- \frac{5}{8})$ .

Multiply $- 1$ by $- 1$ .

$1 (\frac{5}{8}) \frac{5}{8}$

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

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

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

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

Multiply $5$ by $5$ .

$\frac{25}{8 \cdot 8}$

Multiply $8$ by $8$ .

$\frac{25}{64}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{64}$

Decimal Form:

$0.390625$