Question

Find a fraction which is as much greater than3/11 as it isless than11/3.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{required}\mathrm{fraction}=x \\ \mathrm{according}\mathrm{to}\mathrm{question}, \\ x-\frac{3}{11}=\frac{11}{3}-x \\ \Rightarrow x+x=\frac{11}{3}+\frac{3}{11} \\ \Rightarrow 2x=\frac{121+9}{33} \\ \Rightarrow 2x=\frac{130}{33} \\ \Rightarrow x=\frac{130}{66}=\frac{65}{33} \\ \mathrm{Hence}\mathrm{the}\mathrm{required}\mathrm{fraction}=\frac{65}{33} \end{gathered}$$