Evaluate 1/8-(-3/4)

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

Step 1

Multiply $- (- \frac{3}{4})$ .

Multiply $- 1$ by $- 1$ .

$\frac{1}{8} + 1 (\frac{3}{4})$

Multiply $\frac{3}{4}$ by $1$ .

$\frac{1}{8} + \frac{3}{4}$

Step 2

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{8} + \frac{3}{4} \cdot \frac{2}{2}$

Step 3

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

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

$\frac{1}{8} + \frac{3 \cdot 2}{4 \cdot 2}$

Multiply $4$ by $2$ .

$\frac{1}{8} + \frac{3 \cdot 2}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{1 + 3 \cdot 2}{8}$

Step 5

Simplify the numerator.

Multiply $3$ by $2$ .

$\frac{1 + 6}{8}$

Add $1$ and $6$ .

$\frac{7}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{8}$

Decimal Form:

$0.875$