Compare 6/24 and 56/81
6/24 is smaller than 56/81
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,
6/24 = 6 × 27/24 × 27 = 162/648 - Likewise, for the 2nd fraction, since 81 × 8 = 648,
56/81 = 56 × 8/81 × 8 = 448/648 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/648 < 448/648 or 6/24 < 56/81
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