Question

Add and express the sum in simplest form:

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

Answer 1

• Step 1: As these are the like fractions, add the numerators and write the sum over the common denominator.

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

• Step 2: It can be observed that $5$ is the common factor of $10$ and $15$. Divide the numerator and denominator by the common factor $5$.

$\frac{10÷5}{15÷5}=\frac{2}{3}$

• Now, there is no common factor of $2$ and $3$ other than $1$. Hence, the simplest form of $\frac{10}{15}$ is $\frac{2}{3}$.