Basic Math Examples

\frac{1}{15} + \frac{3}{12}

$\frac{1}{15} + \frac{3}{12}$

Step 1

Cancel the common factor of

3

$3$ and

12

$12$ .

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Step 1.1

Factor

3

$3$ out of

3

$3$ .

\frac{1}{15} + \frac{3 (1)}{12}

$\frac{1}{15} + \frac{3 (1)}{12}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

3

$3$ out of

12

$12$ .

\frac{1}{15} + \frac{3 \cdot 1}{3 \cdot 4}

$\frac{1}{15} + \frac{3 \cdot 1}{3 \cdot 4}$

Step 1.2.2

Cancel the common factor.

$\frac{1}{15} + \frac{3 \cdot 1}{3 \cdot 4}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{15} + \frac{1}{4}$

Step 2

To write

$\frac{1}{15}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

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

Step 3

To write

$\frac{1}{4}$ as a fraction with a common denominator, multiply by

$\frac{15}{15}$ .

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

Step 4

Write each expression with a common denominator of

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

$1$ .

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Step 4.1

Multiply

$\frac{1}{15}$ by

$\frac{4}{4}$ .

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

Step 4.2

Multiply

$15$ by

$4$ .

$\frac{4}{60} + \frac{1}{4} \cdot \frac{15}{15}$

Step 4.3

Multiply

$\frac{1}{4}$ by

$\frac{15}{15}$ .

$\frac{4}{60} + \frac{15}{4 \cdot 15}$

Step 4.4

Multiply

$4$ by

$15$ .

$\frac{4}{60} + \frac{15}{60}$

Step 5

Combine the numerators over the common denominator.

$\frac{4 + 15}{60}$

Step 6

Add

$4$ and

$15$ .

$\frac{19}{60}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{60}$

Decimal Form:

$0.31\overline{6}$