Question

Express $\frac{8}{15}+\frac{2}{15}$ in the simplest form .

Answer 1

Step 1 : Finding the sum of two fractions.

Since the denominators are same we just need to add the numerator.

$\frac{8}{15}+\frac{2}{15}=\frac{10}{15}$

Step 2 : Expressing the fraction thus obtained into its simplest form.

$5$ is the highest common factor of both $10$ and $15$.

So,

$\begin{array}{rcl}& \Rightarrow & \frac{10}{15}=\frac{10÷5}{15÷5}\\ & =& \frac{2}{3}\end{array}$

Thus $\frac{8}{15}+\frac{2}{15}$ is $\frac{2}{3}$.