Compare 75/96 and 56/49, Which fraction is greater?

Compare 75/96 and 56/49

1^st number: 75/96, 2^nd number: 1 7/49

75/96 is smaller than 56/49

Find the least common denominator or LCM of the two denominators:
LCM of 96 and 49 is 4704

Next, find the equivalent fraction of both fractional numbers with denominator 4704
For the 1st fraction, since 96 × 49 = 4704,
75/96 = 75 × 49/96 × 49 = 3675/4704
Likewise, for the 2nd fraction, since 49 × 96 = 4704,
56/49 = 56 × 96/49 × 96 = 5376/4704
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
3675/4704 < 5376/4704 or 75/96 < 56/49

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