Question

What should be added to $\frac{-5}{9}$ to get 1?
(a) $\frac{4}{9}$
(b) $\frac{-4}{9}$
(c) $\frac{14}{9}$
(d) $\frac{-14}{9}$

Answer 1

$$\begin{gathered} \begin{array}{l}\\ \mathrm{The}\mathrm{c}\text{orrect option is}\left(\text{c}\right).\\ \frac{14}{9}\text{should be added to}\frac{-5}{9}\text{to get 1.}\\ \mathrm{Let}\mathrm{the}\mathrm{required}\mathrm{number}\mathrm{be}x.\end{array} \\ x+\left(\frac{-5}{9}\right)=1 \\ x=1-\frac{(-5)}{9}=\frac{9+5}{9}=\frac{14}{9} \end{gathered}$$