Compare 4/24 and 24/81
4/24 is smaller than 24/81
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,
4/24 = 4 × 27/24 × 27 = 108/648 - Likewise, for the 2nd fraction, since 81 × 8 = 648,
24/81 = 24 × 8/81 × 8 = 192/648 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/648 < 192/648 or 4/24 < 24/81
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