Question

The sum of two rational numbers is −8. If one of the numbers is\[\frac{- 15}{7},\] find the other.

Answer 1

\[\text{It is given that the sum of two rational numbers is - 8, where one of the numbers is} \frac{- 15}{7} . \]
\[\text{Let the other rational number be x .} \]
\[ \therefore x + \left( \frac{- 15}{7} \right) = - 8\]
\[ \Rightarrow x = \frac{- 8}{1} - \frac{- 15}{7}\]
\[ \Rightarrow x = \frac{- 56}{7} - \frac{- 15}{7}\]
\[ = \frac{- 56 - ( - 15)}{7}\]
\[ = \frac{- 56 + 15}{7}\]
\[ = \frac{- 41}{7}\]
\[\text{Therefore, the other rational number is} \frac{- 41}{7} .\]