Question

How do you add $\frac{2}{3}+\frac{4}{5}$?

Answer 1

Add the given fractions

Given fractions: $\frac{2}{3}+\frac{4}{5}$.

The denominator of the fractions are $3$ and $5$, so they are unlike.

Make the unlike denominators same by finding the least common multiple (LCM) of them.

$3,53,51$

Thus, the least common multiple of the given denominators, $3$ and $5$ is $\left(1\times 3\times 5\right)=15$.

$$\begin{gathered} \frac{2}{3}+\frac{4}{5}=\frac{\left(2\times 5\right)+\left(4\times 3\right)}{15} \\ \Rightarrow \frac{2}{3}+\frac{4}{5}=\frac{10+12}{15} \\ \Rightarrow \frac{2}{3}+\frac{4}{5}=\frac{22}{15} \end{gathered}$$

Therefore, $\frac{2}{3}+\frac{4}{5}=\frac{22}{15}$.