Compare 5/24 and 42/81
5/24 is smaller than 42/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 81 is 648
Next, find the equivalent fraction of both fractional numbers with denominator 648 - For the 1st fraction, since 24 × 27 = 648,
5/24 = 5 × 27/24 × 27 = 135/648 - Likewise, for the 2nd fraction, since 81 × 8 = 648,
42/81 = 42 × 8/81 × 8 = 336/648 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/648 < 336/648 or 5/24 < 42/81
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