Question

Simplify:

$4\frac{2}{3}+3\frac{1}{4}$

Answer 1

Fractions whose denominators are different are called unlike fractions.

$4\frac{2}{3}$ and $3\frac{1}{4}$ are unlike fractions.

$4\frac{2}{3}$ = $\frac{14}{3}$ and $3\frac{1}{4}$ = $\frac{13}{4}$.

Now,

$4\frac{2}{3}+3\frac{1}{4}$

$=\frac{14}{3}+\frac{13}{4}$

The LCM of denominators $3$ and $4$ is $12$

$=(\frac{14}{3}\times \frac{4}{4})+(\frac{13}{4}\times \frac{3}{3})$

$=\frac{56}{12}+\frac{39}{12}$

$=\frac{95}{12}$

$=7\frac{11}{12}$

$\therefore 4\frac{2}{3}+3\frac{1}{4}=7\frac{11}{12}$