Discussion :: Problems on H.C.F and L.C.M
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Which of the following fraction is the largest ?
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A.
\(\frac { 7 } { 8}\) |
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B.
\( \frac { 13 } { 16}\) |
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C.
\( \frac { 31 } { 40 }\) |
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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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