Compare 2/84 and 16/81
2/84 is smaller than 16/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 84 × 27 = 2268,
2/84 = 2 × 27/84 × 27 = 54/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
16/81 = 16 × 28/81 × 28 = 448/2268 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/2268 < 448/2268 or 2/84 < 16/81
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