Question

Mark the correct alternative in each of the following:

What should be added to $\frac{-7}{9}$ to get 2?

(a) $\frac{11}{9}$ (b) $\frac{-11}{9}$ (c) $\frac{-25}{9}$ (d) $\frac{25}{9}$

Answer 1

Sum of the given number and the required number = 2

Given number = $\frac{-7}{9}$

∴ Required number = Sum of the numbers − Given number

$$\begin{gathered} =2-\left(\frac{-7}{9}\right) \\ =\frac{2}{1}+\frac{7}{9} \\ =\frac{2\times 9+7\times 1}{9} \\ =\frac{18+7}{9} \\ =\frac{25}{9} \end{gathered}$$

Hence, the correct answer is option (d).