Compare 15/64 and 24/42, Which fraction is greater?

Compare 15/64 and 24/42

15/64 is smaller than 24/42

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 42 is 1344

Next, find the equivalent fraction of both fractional numbers with denominator 1344
For the 1st fraction, since 64 × 21 = 1344,
15/64 = 15 × 21/64 × 21 = 315/1344
Likewise, for the 2nd fraction, since 42 × 32 = 1344,
24/42 = 24 × 32/42 × 32 = 768/1344
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
315/1344 < 768/1344 or 15/64 < 24/42

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