Evaluate 5/8-(-7/2)

$\frac{5}{8} - (- \frac{7}{2})$

Step 1

Multiply $- (- \frac{7}{2})$ .

Multiply $- 1$ by $- 1$ .

$\frac{5}{8} + 1 (\frac{7}{2})$

Multiply $\frac{7}{2}$ by $1$ .

$\frac{5}{8} + \frac{7}{2}$

Step 2

To write $\frac{7}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{5}{8} + \frac{7}{2} \cdot \frac{4}{4}$

Step 3

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

Multiply $\frac{7}{2}$ by $\frac{4}{4}$ .

$\frac{5}{8} + \frac{7 \cdot 4}{2 \cdot 4}$

Multiply $2$ by $4$ .

$\frac{5}{8} + \frac{7 \cdot 4}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 + 7 \cdot 4}{8}$

Step 5

Simplify the numerator.

Multiply $7$ by $4$ .

$\frac{5 + 28}{8}$

Add $5$ and $28$ .

$\frac{33}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{33}{8}$

Decimal Form:

$4.125$

Mixed Number Form:

$4 \frac{1}{8}$