Compare 10/81 and 6/16
10/81 is smaller than 6/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 16 is 1296
Next, find the equivalent fraction of both fractional numbers with denominator 1296 - For the 1st fraction, since 81 × 16 = 1296,
10/81 = 10 × 16/81 × 16 = 160/1296 - Likewise, for the 2nd fraction, since 16 × 81 = 1296,
6/16 = 6 × 81/16 × 81 = 486/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/1296 < 486/1296 or 10/81 < 6/16
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