Question

Add and express the sum as a mixed fraction:

$\left(ii\right)$ $\frac{24}{7}$ and $\frac{-11}{4}$

Answer 1

Given: $\frac{24}{7}$ and $\frac{-11}{4}$

$\text{LCM}$ of denominators $7$ and $4=28$

$\therefore \frac{24}{7}+\frac{-11}{4}=\frac{24\times 4}{7\times 4}+\frac{-11\times 7}{4\times 7}$

$=\frac{96}{28}+\frac{-77}{28}$

$=\frac{96+(-77)}{28}$

$=\frac{96-77}{28}$

$=\frac{19}{28}$

Hence, the required sum is $\frac{19}{28}.$