Question

Evaluate the value of following :-

$\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$5-{\displaystyle \raisebox{1ex}{$6$}\!\left/ \!\raisebox{-1ex}{$5+{\displaystyle \raisebox{1ex}{$7$}\!\left/ \!\raisebox{-1ex}{$5$}\right.}$}\right.}$}\right.$

Answer 1

$=$$\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$5-{\displaystyle \raisebox{1ex}{$6$}\!\left/ \!\raisebox{-1ex}{$5+{\displaystyle \raisebox{1ex}{$7$}\!\left/ \!\raisebox{-1ex}{$5$}\right.}$}\right.}$}\right.$

Take the LCM of of denominator it will be $5$

$$\begin{gathered} \raisebox{1ex}{$(2+7-6)$}\!\left/ \!\raisebox{-1ex}{$5$}\right. \\ =\raisebox{1ex}{$(9-6)$}\!\left/ \!\raisebox{-1ex}{$5$}\right. \\ =\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$5$}\right. \end{gathered}$$