Basic Math Examples

$\frac{1}{5} + \frac{1}{10} + \frac{1}{15}$

Step 1

Find the common denominator.

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Step 1.1

Multiply

$\frac{1}{5}$ by

$\frac{6}{6}$ .

$\frac{1}{5} \cdot \frac{6}{6} + \frac{1}{10} + \frac{1}{15}$

Step 1.2

Multiply

$\frac{1}{5}$ by

$\frac{6}{6}$ .

$\frac{6}{5 \cdot 6} + \frac{1}{10} + \frac{1}{15}$

Step 1.3

Multiply

$\frac{1}{10}$ by

$\frac{3}{3}$ .

$\frac{6}{5 \cdot 6} + \frac{1}{10} \cdot \frac{3}{3} + \frac{1}{15}$

Step 1.4

Multiply

$\frac{1}{10}$ by

$\frac{3}{3}$ .

$\frac{6}{5 \cdot 6} + \frac{3}{10 \cdot 3} + \frac{1}{15}$

Step 1.5

Multiply

$\frac{1}{15}$ by

$\frac{2}{2}$ .

$\frac{6}{5 \cdot 6} + \frac{3}{10 \cdot 3} + \frac{1}{15} \cdot \frac{2}{2}$

Step 1.6

Multiply

$\frac{1}{15}$ by

$\frac{2}{2}$ .

$\frac{6}{5 \cdot 6} + \frac{3}{10 \cdot 3} + \frac{2}{15 \cdot 2}$

Step 1.7

Multiply

$5$ by

$6$ .

$\frac{6}{30} + \frac{3}{10 \cdot 3} + \frac{2}{15 \cdot 2}$

Step 1.8

Reorder the factors of

$10 \cdot 3$ .

$\frac{6}{30} + \frac{3}{3 \cdot 10} + \frac{2}{15 \cdot 2}$

Step 1.9

Multiply

$3$ by

$10$ .

$\frac{6}{30} + \frac{3}{30} + \frac{2}{15 \cdot 2}$

Step 1.10

Reorder the factors of

$15 \cdot 2$ .

$\frac{6}{30} + \frac{3}{30} + \frac{2}{2 \cdot 15}$

Step 1.11

Multiply

$2$ by

$15$ .

$\frac{6}{30} + \frac{3}{30} + \frac{2}{30}$

Step 2

Combine the numerators over the common denominator.

$\frac{6 + 3 + 2}{30}$

Step 3

Simplify by adding numbers.

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Step 3.1

Add

$6$ and

$3$ .

$\frac{9 + 2}{30}$

Step 3.2

Add

$9$ and

$2$ .

$\frac{11}{30}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{30}$

Decimal Form:

$0.3\overline{6}$