Question

The sum of two rational numbers is $-5$. If one of them is $\frac{-52}{25}$, find the other.

Answer 1

Step: Finding the other number
Let, two rational numbers be p and q.
Given, $p+q=-5$.

One of the number say $\left(p\right)=\frac{-52}{25}$
The other number $\left(q\right)=$ Sum of the two numbers
$-$ one number of the numbers.
$=(p+q)-p$
$=-5-\frac{-52}{25}$
$=\frac{-5\times 25}{1\times 25}-\frac{-52}{25}\left[\text{LCM of}1\text{and}25\text{is}25\right]$
$=\frac{-125-(-52)}{25}$
$=\frac{-125+52}{25}=\frac{-73}{25}$

Hence, the required result is $\frac{-73}{25}$.