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Question

Which of the following fraction is the largest ?

Options:
A .  \(\frac{7}{8}\)
B .  \(\frac{13}{16}\)
C .  \(\frac{31}{40}\)
D .  \(\frac{43}{80}\)
Answer: Option A

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,\(\frac{70}{80}>\frac{65}{80}>\frac{63}{80} so, \frac{7}{8}>\frac{13}{16}>\frac{69}{80}>\frac{31}{40}\)


 


 \(so,\frac{7}{8}is the largest\)


 


 


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