The sum of two rational numbers is -4. If one of them is -11/5, find the other.

Question

The sum of two rational numbers is \(-4.\) If one of them is \(\frac{-11}{5},\) find the other.

Answer 1

Sum of two rational numbers = -4

First number \(=\frac{-11}{5}\)

Second number = Sum of two rational numbers - First number

\(=-4-\frac{-11}{5}\)

\(=\frac{-20-(-11)}{5}\)

\(=\frac{-20+11}{5}\)

\(=\frac{-5}{9}\)

Second number \(=\frac{-9}{5}\)