Compare 1/81 and 7/24
1/81 is smaller than 7/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 24 is 648
Next, find the equivalent fraction of both fractional numbers with denominator 648 - For the 1st fraction, since 81 × 8 = 648,
1/81 = 1 × 8/81 × 8 = 8/648 - Likewise, for the 2nd fraction, since 24 × 27 = 648,
7/24 = 7 × 27/24 × 27 = 189/648 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/648 < 189/648 or 1/81 < 7/24
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