Question

Find $\frac{2}{3}+\frac{2}{4}$

Answer 1

Given $\frac{2}{3}+\frac{2}{4}$

Since, LCM of $3$ and $4$ is $12$

Lets find equivalent fraction of both with denominator as $12$,

$\frac{2}{3}=\frac{2}{3}\times \frac{4}{4}=\frac{2\times 4}{3\times 4}=\frac{8}{12}$

$\frac{2}{4}=\frac{2}{4}\times \frac{3}{3}=\frac{2\times 3}{4\times 3}=\frac{6}{12}$

Now, lets add the fractions,
$\Rightarrow \frac{2}{3}+\frac{2}{4}=\frac{8}{12}+\frac{6}{12}$

$=\frac{8+6}{12}$

$=\frac{14}{12}$

$=\frac{7}{6}$

$=1\frac{1}{6}$

Hence, $\frac{2}{3}+\frac{2}{4}=1\frac{1}{6}$