Question

Add$\frac{9}{20}+\frac{11}{30}$.

Short answer

The sum is$\frac{49}{60}$.

Step-by-step solution

Given Information

The Given expression is$\frac{9}{20}+\frac{11}{30}$.

Find the LCD of denominators.

Factor the denominators.

$20=2\times 2\times 5$

$30=3\times 3\times 5$

LCD$=2\times 2\times 3\times 5$

LCD$=60$

Rewrite each fraction as an equivalent fraction with the LCD.

$=\frac{9·3}{20·3}+\frac{11·2}{30·2}$

$=\frac{27}{60}+\frac{22}{60}$

Add

Take common denominator.

$=\frac{27+22}{60}$

$=\frac{49}{60}$