Evaluate 5/12+5/9

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

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

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

To write $\frac{5}{9}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

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

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

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

Multiply $12$ by $3$ .

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

Multiply $\frac{5}{9}$ by $\frac{4}{4}$ .

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

Multiply $9$ by $4$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $5$ by $3$ .

$\frac{15 + 5 \cdot 4}{36}$

Multiply $5$ by $4$ .

$\frac{15 + 20}{36}$

Add $15$ and $20$ .

$\frac{35}{36}$

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{36}$

Decimal Form:

$0.97\overline{2}$