Which of the following fraction is the largest ?

Solution (By Examveda Team)

$$\eqalign{ & {\text{L}}{\text{.C}}{\text{.M}}{\text{.}}\,{\text{of}}\,8,\,16,\,40\,{\text{and}}\,80 = 80 \cr & \frac{7}{8} = \frac{{70}}{{80}};\,\frac{{13}}{{16}} = \frac{{65}}{{80}};\,\frac{{31}}{{40}} = \frac{{62}}{{80}} \cr & {\text{Since}},\,\frac{{70}}{{80}} > \frac{{65}}{{80}} > \frac{{63}}{{80}} > \frac{{62}}{{80}}, \cr & {\text{So}},\,\frac{7}{8} > \frac{{13}}{{16}} > \frac{{63}}{{80}} > \frac{{31}}{{40}} \cr & {\text{So}},\,\frac{7}{8}\,{\text{is}}\,{\text{the}}\,{\text{largest}}{\text{.}} \cr} $$