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

  1. Which of the following fraction is the largest ?

  2. A.

    \(\frac { 7 } { 8}\)

    B.

    \( \frac { 13 } { 16}\)

    C.

    \( \frac { 31 } { 40 }\)

    D.

    \(\frac {63 } {80 } \)

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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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