Question

Fill in the blanks:

$\frac{8}{15}+\frac{2}{5}=\_\_\_$

Answer 1

• Step 1: The least common denominator (LCD) of $5$ and $15$ is $15$. Make the denominator as $15$ for both the fractions.

$\frac{8}{15}=\frac{8\times 1}{15\times 1}=\frac{8}{15}$;

$\frac{2}{5}=\frac{2\times 3}{5\times 3}=\frac{6}{15}$

• Step 2: Add the numerators and write the sum over the common denominator.

$\frac{8}{15}+\frac{6}{15}=\frac{8+6}{15}=\frac{14}{15}$

• Hence, $\frac{8}{15}+\frac{2}{5}=\frac{14}{15}$