Compare 1/81 and 2/21
1/81 is smaller than 2/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 21 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 81 × 7 = 567,
1/81 = 1 × 7/81 × 7 = 7/567 - Likewise, for the 2nd fraction, since 21 × 27 = 567,
2/21 = 2 × 27/21 × 27 = 54/567 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/567 < 54/567 or 1/81 < 2/21
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