Q60. - Algebra 1

Question

Evaluate each expression.

$\frac{11}{12}+\frac{5}{36}$

Step-by-Step Solution

Answer

The required value of the expression is $\frac{19}{18}$.

Step 1. Make the denominator the same.

$\frac{11}{12}+\frac{5}{36}=\frac{11\times 3}{12\times 3}+\frac{5\times 1}{36\times 1}$

Step 2. Multiply the numbers add the top numbers and put the answer over the same denominator.

$\begin{array}{l}\frac{11}{12}+\frac{5}{36}=\frac{33}{36}+\frac{5}{36}\\ \frac{11}{12}+\frac{5}{36}=\frac{38}{36}\end{array}$

Step 3. Cancel out the common factors.

$\frac{11}{12}+\frac{5}{36}=\frac{19}{18}$