Problems on H.C.F and L.C.M - Arithmetic Aptitude Questions and Answers

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Discussion :: Problems on H.C.F and L.C.M

Which of the following fraction is the largest ?

$\frac { 7 } { 8}$

$\frac { 13 } { 16}$

$\frac { 31 } { 40 }$

$\frac {63 } {80 }$

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Answer : Option A

Explanation :

L.C.M. of 8, 16, 40 and 80 = 80.

$\frac { 7 } { 8}$ = $\frac { 70} { 80 }$ ; $\frac { 1 3} { 16 }$ = $\frac { 65 } { 80 }$ ; $\frac { 31 } { 40 }$ = $\frac { 62 } { 80 }$

Since, $\frac { 70} { 80 }$ greater than $\frac { 65 } { 80 }$ greater than $\frac { 63 } { 80 }$ greater than $\frac { 62 } { 80 }$ , so $\frac { 7 } { 8}$ greater than $\frac { 1 3} { 16 }$ greater than $\frac { 63 } { 80 }$ greater than $\frac { 31 } { 40 }$

So, $\frac { 7 } { 8}$ is the largest.

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