Compare 4/64 and 48/9, Which fraction is greater?

Compare 4/64 and 48/9

1^st number: 4/64, 2^nd number: 5 3/9

4/64 is smaller than 48/9

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 9 is 576

Next, find the equivalent fraction of both fractional numbers with denominator 576
For the 1st fraction, since 64 × 9 = 576,
4/64 = 4 × 9/64 × 9 = 36/576
Likewise, for the 2nd fraction, since 9 × 64 = 576,
48/9 = 48 × 64/9 × 64 = 3072/576
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
36/576 < 3072/576 or 4/64 < 48/9

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