Find the Exact Value 1/2+1/4+1/8

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

Step 1

Find the common denominator.

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

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

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

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

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

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

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

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

Multiply $2$ by $4$ .

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

Reorder the factors of $4 \cdot 2$ .

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

Multiply $2$ by $4$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify by adding numbers.

Add $4$ and $2$ .

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

Add $6$ and $1$ .

$\frac{7}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{8}$

Decimal Form:

$0.875$