Compare 10/64 and 30/9, Which fraction is greater?

Compare 10/64 and 30/9

1^st number: 10/64, 2^nd number: 3 3/9

10/64 is smaller than 30/9

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,
10/64 = 10 × 9/64 × 9 = 90/576
Likewise, for the 2nd fraction, since 9 × 64 = 576,
30/9 = 30 × 64/9 × 64 = 1920/576
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
90/576 < 1920/576 or 10/64 < 30/9

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