Compare 10/21 and 42/64, Which fraction is greater?

Compare 10/21 and 42/64

10/21 is smaller than 42/64

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,
10/21 = 10 × 64/21 × 64 = 640/1344
Likewise, for the 2nd fraction, since 64 × 21 = 1344,
42/64 = 42 × 21/64 × 21 = 882/1344
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
640/1344 < 882/1344 or 10/21 < 42/64

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