Compare 12/24 and 40/81
12/24 is greater than 40/81
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,
12/24 = 12 × 27/24 × 27 = 324/648 - Likewise, for the 2nd fraction, since 81 × 8 = 648,
40/81 = 40 × 8/81 × 8 = 320/648 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/648 > 320/648 or 12/24 > 40/81
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