Compare 6/42 and 21/81, Which fraction is greater?

Compare 6/42 and 21/81

6/42 is smaller than 21/81

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 81 is 1134

Next, find the equivalent fraction of both fractional numbers with denominator 1134
For the 1st fraction, since 42 × 27 = 1134,
6/42 = 6 × 27/42 × 27 = 162/1134
Likewise, for the 2nd fraction, since 81 × 14 = 1134,
21/81 = 21 × 14/81 × 14 = 294/1134
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
162/1134 < 294/1134 or 6/42 < 21/81

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