Which of the following fraction is the largest ?
$ \dfrac{7}{8} $
$ \dfrac{13}{16} $
$ \dfrac{31}{40} $
$ \dfrac{63}{80} $
Explanation:
L.C.M. of 8, 16, 40 and 80 = 80.
$ \dfrac{7}{8} $=$ \dfrac{70}{80} $; $ \dfrac{13}{16} $=$ \dfrac{65}{80} $; $ \dfrac{31}{40} $=$ \dfrac{62}{80} $
Since,$ \dfrac{70}{80} $>$ \dfrac{65}{80} $>$ \dfrac{63}{80} $>$ \dfrac{62}{80} $, so$ \dfrac{7}{8} $>$ \dfrac{13}{16} $>$ \dfrac{63}{80} $>$ \dfrac{31}{40} $
So,$ \dfrac{7}{8} $is the largest.