Compare 30/81 and 21/84
30/81 is greater than 21/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 84 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 81 × 28 = 2268,
30/81 = 30 × 28/81 × 28 = 840/2268 - Likewise, for the 2nd fraction, since 84 × 27 = 2268,
21/84 = 21 × 27/84 × 27 = 567/2268 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 840/2268 > 567/2268 or 30/81 > 21/84
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