Compare 84/27 and 56/49, Which fraction is greater?

Compare 84/27 and 56/49

1^st number: 3 3/27, 2^nd number: 1 7/49

84/27 is greater than 56/49

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 27 × 49 = 1323,
84/27 = 84 × 49/27 × 49 = 4116/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
56/49 = 56 × 27/49 × 27 = 1512/1323
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
4116/1323 > 1512/1323 or 84/27 > 56/49

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