Question

In the following exercises, add.

$\frac{2}{15}+\frac{7}{15}$

Short answer

The simplified expression is$\begin{array}{rcl}& & \frac{3}{5}\end{array}$.

Step-by-step solution

Step 1. Given Information

The given expression is$\frac{2}{15}+\frac{7}{15}$.

Step 2. Add the numerator 

As the denominator is same for both the terms, add the numerator and place it over the common denominator.

$\begin{array}{rcl}\frac{2}{15}+\frac{7}{15}& =& \frac{2+7}{15}\\ & =& \frac{9}{15}\end{array}$

Step 3. Represent in lowest terms

Factor the expression in the numerator and denominator then cancel out the common terms from numerator and denominator.

$\begin{array}{rcl}\frac{9}{15}& =& \frac{3·3}{3·5}\\ & =& \frac{3}{5}\end{array}$