Question

The sum of two rational numbers is $\frac{-7}{12}$. If one of them is $\frac{13}{24}$, find the other.

• A. $\frac{-4}{15}$
• B. $\frac{-9}{13}$
• C. $\frac{-5}{12}$
• D. $\frac{-9}{8}$

Answer 1

The correct option is D $\frac{-9}{8}$

It is given that sum of two rational numbers = $\frac{-7}{12}$
One of the rational number = $\frac{13}{24}$
Other rational number = $\frac{-7}{12}$ – $\frac{13}{24}$
LCM of 12 and 24 is 24 = $\frac{(-7\times 2)}{(12\times 2)}$ – $\frac{13}{24}$
By further calculation = $\frac{-14}{24}$ – $\frac{13}{24}$
So we get = $\frac{(-14–13)}{24}$ = $\frac{-27}{24}$ = $\frac{-9}{8}$
Hence, option B is the correct answer.