Question

Fill in the blanks:

$\frac{2}{5}+\frac{3}{4}=\_\_\_$

Answer 1

• Step 1: The least common denominator (LCD) of $4$ and $5$ is $20$. Make the denominator as $20$ for both the fractions.

$\frac{2}{5}=\frac{2\times 4}{5\times 4}=\frac{8}{20}$;

$\frac{3}{4}=\frac{3\times 5}{4\times 5}=\frac{15}{20}$

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

$\frac{8}{20}+\frac{15}{20}=\frac{8+15}{20}=\frac{23}{20}$

• Hence, $\frac{2}{5}+\frac{3}{4}=\frac{23}{20}$.