Question

In the following exercises, Perform the indicated operation, $\frac{5}{18}+\frac{7}{12}$

Short answer

The sum of two fractions is$\frac{31}{36}$

Step-by-step solution

Step 1, Given information

The given fraction is$\frac{5}{18}+\frac{7}{12}$

Step 2. Perform addition operation

Take the LCD of the denominator of a fraction $\frac{5}{18}+\frac{7}{12}$

$LCD=36$

Then$$\begin{gathered} \frac{5}{18}+\frac{7}{12} \\ =\frac{5\times 2+7\times 3}{36} \\ =\frac{10+21}{36} \\ =\frac{31}{36} \end{gathered}$$

Step 3. Conclusion

Hence, the sum of two fractions is$\frac{31}{36}$