Compare 21/75 and 21/45, Which fraction is greater?

Compare 21/75 and 21/45

21/75 is smaller than 21/45

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 45 is 225

Next, find the equivalent fraction of both fractional numbers with denominator 225
For the 1st fraction, since 75 × 3 = 225,
21/75 = 21 × 3/75 × 3 = 63/225
Likewise, for the 2nd fraction, since 45 × 5 = 225,
21/45 = 21 × 5/45 × 5 = 105/225
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
63/225 < 105/225 or 21/75 < 21/45

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