Basic Math Examples

$\frac{1}{12} + \frac{5}{9}$

Step 1

To write

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

$\frac{3}{3}$ .

$\frac{1}{12} \cdot \frac{3}{3} + \frac{5}{9}$

Step 2

To write

$\frac{5}{9}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{1}{12} \cdot \frac{3}{3} + \frac{5}{9} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

$36$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{1}{12}$ by

$\frac{3}{3}$ .

$\frac{3}{12 \cdot 3} + \frac{5}{9} \cdot \frac{4}{4}$

Step 3.2

Multiply

$12$ by

$3$ .

$\frac{3}{36} + \frac{5}{9} \cdot \frac{4}{4}$

Step 3.3

Multiply

$\frac{5}{9}$ by

$\frac{4}{4}$ .

$\frac{3}{36} + \frac{5 \cdot 4}{9 \cdot 4}$

Step 3.4

Multiply

$9$ by

$4$ .

$\frac{3}{36} + \frac{5 \cdot 4}{36}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 + 5 \cdot 4}{36}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$5$ by

$4$ .

$\frac{3 + 20}{36}$

Step 5.2

Add

$3$ and

$20$ .

$\frac{23}{36}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{36}$

Decimal Form:

$0.63\overline{8}$