Question

Evaluate the value of following:-

$\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$11+{\displaystyle \raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$11+{\displaystyle \raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$11+{\displaystyle \raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$11$}\right.}$}\right.}$}\right.}$}\right.$

Answer 1

$\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$11+{\displaystyle \raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$11+{\displaystyle \raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$11+{\displaystyle \raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$11$}\right.}$}\right.}$}\right.}$}\right.$

Take the LCM of denominator we get :-$11$

$$\begin{gathered} =\raisebox{1ex}{$1+4+3+2$}\!\left/ \!\raisebox{-1ex}{$11$}\right. \\ =\raisebox{1ex}{$10$}\!\left/ \!\raisebox{-1ex}{$11$}\right. \end{gathered}$$