Question

Fill in the blanks:

$\frac{10}{13}+\frac{1}{2}=\_\_\_$

Answer 1

• Step 1: The least common denominator (LCD) of $2$ and $13$ is $26$. Make the denominator as $26$ for both the fractions.

$\frac{10}{13}=\frac{10\times 2}{13\times 2}=\frac{20}{26}$;

$\frac{1}{2}=\frac{1\times 13}{2\times 13}=\frac{13}{26}$

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

$\frac{20}{26}+\frac{13}{26}=\frac{20+13}{26}=\frac{33}{26}$

• Hence, $\frac{10}{13}+\frac{1}{2}=\frac{33}{26}$.