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1. Which of the following fraction is the largest ?

A. $\frac{7}{8}$

B. $\frac{13}{16}$

C. $\frac{31}{40}$

D. $\frac{63}{80}$

Solution:

\begin{aligned} L .C .M . of 8, 16, 40 and 80 = 80 \\ \frac{7}{8} = \frac{70}{80}; \frac{13}{16} = \frac{65}{80}; \frac{31}{40} = \frac{62}{80} \\ Since, \frac{70}{80} > \frac{65}{80} > \frac{63}{80} > \frac{62}{80}, \\ So, \frac{7}{8} > \frac{13}{16} > \frac{63}{80} > \frac{31}{40} \\ So, \frac{7}{8} is the largest . \end{aligned}

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