Compare 75/64 and 8/49, Which fraction is greater?

Compare 75/64 and 8/49

1^st number: 1 11/64, 2^nd number: 8/49

75/64 is greater than 8/49

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 49 is 3136

Next, find the equivalent fraction of both fractional numbers with denominator 3136
For the 1st fraction, since 64 × 49 = 3136,
75/64 = 75 × 49/64 × 49 = 3675/3136
Likewise, for the 2nd fraction, since 49 × 64 = 3136,
8/49 = 8 × 64/49 × 64 = 512/3136
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
3675/3136 > 512/3136 or 75/64 > 8/49

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