Compare 1/21 and 8/81
1/21 is smaller than 8/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 81 is 567
Next, find the equivalent fraction of both fractional numbers with denominator 567 - For the 1st fraction, since 21 × 27 = 567,
1/21 = 1 × 27/21 × 27 = 27/567 - Likewise, for the 2nd fraction, since 81 × 7 = 567,
8/81 = 8 × 7/81 × 7 = 56/567 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/567 < 56/567 or 1/21 < 8/81
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