Question

What number should be added to $\frac{-5}{11}$ so as to get $\frac{26}{33}?$

Answer 1

$$\begin{gathered} \mathrm{Let}x\mathrm{be}\mathrm{added}. \\ \therefore x+\frac{-5}{11}=\frac{26}{33} \\ \Rightarrow x=\frac{26}{33}-\frac{-5}{11} \\ \Rightarrow x=\frac{26}{33}-\frac{-15}{33} \\ \Rightarrow x=\frac{26-(-15)}{33} \\ \Rightarrow x=\frac{26+15}{33} \\ \Rightarrow x=\frac{41}{33} \end{gathered}$$