Compare 14/64 and 21/75, Which fraction is greater?

Compare 14/64 and 21/75

14/64 is smaller than 21/75

Find the least common denominator or LCM of the two denominators:
LCM of 64 and 75 is 4800

Next, find the equivalent fraction of both fractional numbers with denominator 4800
For the 1st fraction, since 64 × 75 = 4800,
14/64 = 14 × 75/64 × 75 = 1050/4800
Likewise, for the 2nd fraction, since 75 × 64 = 4800,
21/75 = 21 × 64/75 × 64 = 1344/4800
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1050/4800 < 1344/4800 or 14/64 < 21/75

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