Question

Fill in the blanks:

$\frac{4}{9}+\frac{5}{27}=\_\_\_$

Answer 1

• Step 1: The least common denominator (LCD) of $9$ and $27$ is $27$. Make the denominator as $27$ for both the fractions.

$\frac{4}{9}=\frac{4\times 3}{9\times 3}=\frac{12}{27}$;

$\frac{5}{27}=\frac{5\times 1}{27\times 1}=\frac{5}{27}$

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

$\frac{12}{27}+\frac{5}{27}=\frac{12+5}{27}=\frac{17}{27}$

• Hence, $\frac{4}{9}+\frac{5}{27}=\frac{17}{27}$.