Compare 2/30 and 30/84, Which fraction is greater?

Compare 2/30 and 30/84

2/30 is smaller than 30/84

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 30 × 14 = 420,
2/30 = 2 × 14/30 × 14 = 28/420
Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
28/420 < 150/420 or 2/30 < 30/84

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