Question

Fill in the blanks:

$\frac{2}{3}+\frac{3}{4}+\frac{4}{5}=\_\_\_$

Answer 1

• Step 1: The least common denominator (LCD) of $3$, $4$ and $5$ is $60$. Make the denominator as $60$ for all the fractions.

$\frac{2}{3}=\frac{2\times 20}{3\times 20}=\frac{40}{60}$;

$\frac{3}{4}=\frac{3\times 15}{4\times 15}=\frac{45}{60}$;

$\frac{4}{5}=\frac{4\times 12}{5\times 12}=\frac{48}{60}$

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

$\frac{40}{60}+\frac{45}{60}+\frac{48}{60}=\frac{40+45+48}{60}=\frac{133}{60}$

• Hence, $\frac{2}{3}+\frac{3}{4}+\frac{4}{5}=\frac{133}{60}$.