Compare 75/21 and 60/64, Which fraction is greater?

Compare 75/21 and 60/64

1^st number: 3 12/21, 2^nd number: 60/64

75/21 is greater than 60/64

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 64 is 1344

Next, find the equivalent fraction of both fractional numbers with denominator 1344
For the 1st fraction, since 21 × 64 = 1344,
75/21 = 75 × 64/21 × 64 = 4800/1344
Likewise, for the 2nd fraction, since 64 × 21 = 1344,
60/64 = 60 × 21/64 × 21 = 1260/1344
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
4800/1344 > 1260/1344 or 75/21 > 60/64

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