Question

Add the following rational numbers:​

(vii) $\frac{-5}{16}\text{and}\frac{7}{24}$

Answer 1

Given : $\frac{-5}{16}\text{and}\frac{7}{24}$

$\therefore$ LCM of denominators $16$ and $24=48$
Expressing each of the given rational number with $48$ as common denominator
$\Rightarrow \frac{-5}{16}=\frac{-5\times 3}{16\times 3}=\frac{-15}{48}$

and $\frac{7}{24}=\frac{7\times 2}{24\times 2}=\frac{14}{48}$

Now, $\frac{-5}{16}+\frac{7}{24}=\frac{-15}{48}+\frac{14}{48}$

$=\frac{-15+14}{48}$
$=\frac{-1}{48}$

Hencce, the sum of $\frac{-5}{16}\text{and}\frac{7}{24}$ is $\frac{-1}{48}$.