Question

Add:$\frac{11}{30}+\frac{7}{12}$

Short answer

The addition of rational expression is$\frac{19}{20}$.

Step-by-step solution

Given information

The given expression is ,$\frac{11}{30}+\frac{7}{12}$.

Simplify the expression 

30 can be written as $2\times 3\times 5$

12 can be written as $2\times 2\times 3$

The LCD of 30 and 12 is 60.

Rewrite each fraction as an equivalent fraction with the LCD

role="math" localid="1648196552696" $$\begin{gathered} =\frac{11\times 2}{30\times 2}+\frac{7\times 5}{12\times 5} \\ =\frac{22}{60}+\frac{35}{60} \\ \mathrm{Add}\mathrm{the}\mathrm{fraction}s \\ =\frac{57}{60} \end{gathered}$$

The fraction can be further simplified as$\frac{19}{20}$.