Question

Fill in the blanks:

$\frac{4}{7}+\frac{3}{5}=\_\_\_$

Answer 1

• Step 1: The least common denominator (LCD) of $5$ and $7$ is $35$. Make the denominator as $35$ for both the fractions.

$\frac{4}{7}=\frac{4\times 5}{7\times 5}=\frac{20}{35}$;

$\frac{3}{5}=\frac{3\times 7}{5\times 7}=\frac{21}{35}$

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

$\frac{20}{35}+\frac{21}{35}=\frac{20+21}{35}=\frac{41}{35}$

• Hence, $\frac{4}{7}+\frac{3}{5}=\frac{41}{35}$.