Question

Add$\frac{8}{27}+\frac{7}{18}$.

Short answer

The sum is$\frac{37}{54}$.

Step-by-step solution

Given Information

The Given expression is$\frac{8}{27}+\frac{7}{18}$.

Find the LCD of denominators.

Factor the denominators.

$27=3\times 3\times 3$

$18=2\times 3\times 3$

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

LCD$=54$

Rewrite each fraction as an equivalent fraction with the LCD.

$=\frac{8·2}{27·2}+\frac{7·3}{18·3}$

$=\frac{16}{54}+\frac{21}{54}$

Add

Take common denominator.

$=\frac{16+21}{54}$

$=\frac{37}{54}$