Basic Math Examples

$\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{2}$ by $\frac{8}{8}$ .

$\frac{1}{2} \cdot \frac{8}{8} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16}$

Step 1.2

Multiply $\frac{1}{2}$ by $\frac{8}{8}$ .

$\frac{8}{2 \cdot 8} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16}$

Step 1.3

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

$\frac{8}{2 \cdot 8} + \frac{1}{4} \cdot \frac{4}{4} + \frac{1}{8} + \frac{1}{16}$

Step 1.4

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

$\frac{8}{2 \cdot 8} + \frac{4}{4 \cdot 4} + \frac{1}{8} + \frac{1}{16}$

Step 1.5

Multiply $\frac{1}{8}$ by $\frac{2}{2}$ .

$\frac{8}{2 \cdot 8} + \frac{4}{4 \cdot 4} + \frac{1}{8} \cdot \frac{2}{2} + \frac{1}{16}$

Step 1.6

Multiply $\frac{1}{8}$ by $\frac{2}{2}$ .

$\frac{8}{2 \cdot 8} + \frac{4}{4 \cdot 4} + \frac{2}{8 \cdot 2} + \frac{1}{16}$

Step 1.7

Multiply $2$ by $8$ .

$\frac{8}{16} + \frac{4}{4 \cdot 4} + \frac{2}{8 \cdot 2} + \frac{1}{16}$

Step 1.8

Multiply $4$ by $4$ .

$\frac{8}{16} + \frac{4}{16} + \frac{2}{8 \cdot 2} + \frac{1}{16}$

Step 1.9

Reorder the factors of $8 \cdot 2$ .

$\frac{8}{16} + \frac{4}{16} + \frac{2}{2 \cdot 8} + \frac{1}{16}$

Step 1.10

Multiply $2$ by $8$ .

$\frac{8}{16} + \frac{4}{16} + \frac{2}{16} + \frac{1}{16}$

Step 2

Combine the numerators over the common denominator.

$\frac{8 + 4 + 2 + 1}{16}$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $8$ and $4$ .

$\frac{12 + 2 + 1}{16}$

Step 3.2

Add $12$ and $2$ .

$\frac{14 + 1}{16}$

Step 3.3

Add $14$ and $1$ .

$\frac{15}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{16}$

Decimal Form:

$0.9375$