Compare 30/16 and 72/7, Which fraction is greater?

Compare 30/16 and 72/7

1^st number: 1 14/16, 2^nd number: 10 2/7

30/16 is smaller than 72/7

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 7 is 112

Next, find the equivalent fraction of both fractional numbers with denominator 112
For the 1st fraction, since 16 × 7 = 112,
30/16 = 30 × 7/16 × 7 = 210/112
Likewise, for the 2nd fraction, since 7 × 16 = 112,
72/7 = 72 × 16/7 × 16 = 1152/112
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
210/112 < 1152/112 or 30/16 < 72/7

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