Compare 12/16 and 40/81
12/16 is greater than 40/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 81 is 1296
Next, find the equivalent fraction of both fractional numbers with denominator 1296 - For the 1st fraction, since 16 × 81 = 1296,
12/16 = 12 × 81/16 × 81 = 972/1296 - Likewise, for the 2nd fraction, since 81 × 16 = 1296,
40/81 = 40 × 16/81 × 16 = 640/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 972/1296 > 640/1296 or 12/16 > 40/81
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