[\dfrac{7}{8}] Which of the following fraction is the largest ?

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Aptitude

TNPSC G4

10th CBSE Maths

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.

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