Question

Fill in the blanks:

$\frac{5}{18}+\frac{7}{12}=\_\_\_$

Answer 1

• Step 1: The least common denominator (LCD) of $12$ and $18$ is $36$. Make the denominator as $36$ for both the fractions.

$\frac{5}{18}=\frac{5\times 2}{18\times 2}=\frac{10}{36}$;

$\frac{7}{12}=\frac{7\times 3}{12\times 3}=\frac{21}{36}$

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

$\frac{10}{36}+\frac{21}{36}=\frac{10+21}{36}=\frac{31}{36}$

• Hence, $\frac{5}{18}+\frac{7}{12}=\frac{31}{36}$.