Basic Math Examples

$\frac{2}{15} + \frac{1}{12}$

Step 1

To write

$\frac{2}{15}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{2}{15} \cdot \frac{4}{4} + \frac{1}{12}$

Step 2

To write

$\frac{1}{12}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{2}{15} \cdot \frac{4}{4} + \frac{1}{12} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of

$60$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{2}{15}$ by

$\frac{4}{4}$ .

$\frac{2 \cdot 4}{15 \cdot 4} + \frac{1}{12} \cdot \frac{5}{5}$

Step 3.2

Multiply

$15$ by

$4$ .

$\frac{2 \cdot 4}{60} + \frac{1}{12} \cdot \frac{5}{5}$

Step 3.3

Multiply

$\frac{1}{12}$ by

$\frac{5}{5}$ .

$\frac{2 \cdot 4}{60} + \frac{5}{12 \cdot 5}$

Step 3.4

Multiply

$12$ by

$5$ .

$\frac{2 \cdot 4}{60} + \frac{5}{60}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 5}{60}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$2$ by

$4$ .

$\frac{8 + 5}{60}$

Step 5.2

Add

$8$ and

$5$ .

$\frac{13}{60}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{60}$

Decimal Form:

$0.21\overline{6}$