Evaluate 2/9+5/12

$\frac{2}{9} + \frac{5}{12}$

Step 1

To write $\frac{2}{9}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{2}{9} \cdot \frac{4}{4} + \frac{5}{12}$

Step 2

To write $\frac{5}{12}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{2}{9} \cdot \frac{4}{4} + \frac{5}{12} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of $36$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{9}$ by $\frac{4}{4}$ .

$\frac{2 \cdot 4}{9 \cdot 4} + \frac{5}{12} \cdot \frac{3}{3}$

Multiply $9$ by $4$ .

$\frac{2 \cdot 4}{36} + \frac{5}{12} \cdot \frac{3}{3}$

Multiply $\frac{5}{12}$ by $\frac{3}{3}$ .

$\frac{2 \cdot 4}{36} + \frac{5 \cdot 3}{12 \cdot 3}$

Multiply $12$ by $3$ .

$\frac{2 \cdot 4}{36} + \frac{5 \cdot 3}{36}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 5 \cdot 3}{36}$

Step 5

Simplify the numerator.

Multiply $2$ by $4$ .

$\frac{8 + 5 \cdot 3}{36}$

Multiply $5$ by $3$ .

$\frac{8 + 15}{36}$

Add $8$ and $15$ .

$\frac{23}{36}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{36}$

Decimal Form:

$0.63\overline{8}$