Question

The sum of two rational numbers is $\frac{-2}{3}.$If one of them is $-4$,find the other.

Answer 1

Finding the rational number

Let the other rational number be $x.$

According to question,

$$\begin{gathered} \Rightarrow -4+x=\frac{-2}{3} \\ \Rightarrow x=\frac{-2}{3}+4 \\ \Rightarrow x=\frac{-2}{3}+\frac{4}{1} \\ \Rightarrow x=\frac{-2}{3}+\frac{4\times 3}{1\times 3} \\ \Rightarrow x=\frac{-2}{3}+\frac{12}{3} \\ \Rightarrow x=\frac{-2+12}{3} \\ \Rightarrow x=\frac{10}{3} \\ \Rightarrow x=\frac{-1}{6} \end{gathered}$$

Hence , the other rational number is $\frac{10}{3}.$