Find the Exact Value (1-3/4)/2+1/2

$\frac{1 - \frac{3}{4}}{2} + \frac{1}{2}$

Step 1

Combine the numerators over the common denominator.

$\frac{1 - \frac{3}{4} + 1}{2}$

Step 2

Find the common denominator.

Write $1$ as a fraction with denominator $1$ .

$\frac{\frac{1}{1} - \frac{3}{4} + 1}{2}$

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

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

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

$\frac{\frac{4}{4} - \frac{3}{4} + 1}{2}$

Write $1$ as a fraction with denominator $1$ .

$\frac{\frac{4}{4} - \frac{3}{4} + \frac{1}{1}}{2}$

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

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

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

$\frac{\frac{4}{4} - \frac{3}{4} + \frac{4}{4}}{2}$

Step 3

Combine the numerators over the common denominator.

$\frac{\frac{4 - 3 + 4}{4}}{2}$

Step 4

Simplify by adding and subtracting.

Subtract $3$ from $4$ .

$\frac{\frac{1 + 4}{4}}{2}$

Add $1$ and $4$ .

$\frac{\frac{5}{4}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{4} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{5}{4} \cdot \frac{1}{2}$ .

Multiply $\frac{5}{4}$ by $\frac{1}{2}$ .

$\frac{5}{4 \cdot 2}$

Multiply $4$ by $2$ .

$\frac{5}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{8}$

Decimal Form:

$0.625$