Compare 6/84 and 21/27, Which fraction is greater?

Compare 6/84 and 21/27

6/84 is smaller than 21/27

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756

Next, find the equivalent fraction of both fractional numbers with denominator 756
For the 1st fraction, since 84 × 9 = 756,
6/84 = 6 × 9/84 × 9 = 54/756
Likewise, for the 2nd fraction, since 27 × 28 = 756,
21/27 = 21 × 28/27 × 28 = 588/756
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
54/756 < 588/756 or 6/84 < 21/27

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