Compare 4/14 and 81/32, Which fraction is greater?

Compare 4/14 and 81/32

1^st number: 4/14, 2^nd number: 2 17/32

4/14 is smaller than 81/32

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 32 is 224

Next, find the equivalent fraction of both fractional numbers with denominator 224
For the 1st fraction, since 14 × 16 = 224,
4/14 = 4 × 16/14 × 16 = 64/224
Likewise, for the 2nd fraction, since 32 × 7 = 224,
81/32 = 81 × 7/32 × 7 = 567/224
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
64/224 < 567/224 or 4/14 < 81/32

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