Question

What rational number should be subtracted from $-\frac{5}{12}$ to get $\frac{5}{24}$.

Answer 1

Step : Finding the other number
Let, the required number be $x$.
According to question, $x$ should be subtracted from
$-\frac{5}{12}\text{to get}\frac{5}{24}$.
$-\frac{5}{12}-x=\frac{5}{24}$
$\Rightarrow \frac{-5}{12}-\frac{5}{24}=x$
$\Rightarrow x=\frac{-5\times 2}{12\times 2}-\frac{5}{24}[\because \text{LCM of}12\text{and}24\text{is}24]$
$=\frac{-10}{24}-\frac{5}{24}=\frac{-10-5}{24}=\frac{-15}{24}=-\frac{5}{8}$

Hence, $-\frac{5}{8}$ should be subtracted from $-\frac{5}{12}$ to get $\frac{5}{24}$.