Compare 14/56 and 21/75, Which fraction is greater?

Compare 14/56 and 21/75

14/56 is smaller than 21/75

Find the least common denominator or LCM of the two denominators:
LCM of 56 and 75 is 4200

Next, find the equivalent fraction of both fractional numbers with denominator 4200
For the 1st fraction, since 56 × 75 = 4200,
14/56 = 14 × 75/56 × 75 = 1050/4200
Likewise, for the 2nd fraction, since 75 × 56 = 4200,
21/75 = 21 × 56/75 × 56 = 1176/4200
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1050/4200 < 1176/4200 or 14/56 < 21/75

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