Question

Fill in the blanks:

$\frac{1}{4}+\frac{5}{12}=\_\_\_$

Answer 1

• Step 1: The least common denominator (LCD) of $4$ and $12$ is $12$. Make the denominator as $12$ for both the fractions.

$\frac{1}{4}=\frac{1\times 3}{4\times 3}=\frac{3}{12}$;

$\frac{5}{12}=\frac{5\times 1}{12\times 1}=\frac{5}{12}$

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

$\frac{3}{12}+\frac{5}{12}=\frac{3+5}{12}=\frac{8}{12}$

• Step 3: Divide the numerator and denominator by the common factor $4$.

$\frac{8÷4}{12÷4}=\frac{2}{3}$

• Hence, $\frac{1}{4}+\frac{5}{12}=\frac{2}{3}$.