Compare 8/16 and 56/81
8/16 is smaller than 56/81
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,
8/16 = 8 × 81/16 × 81 = 648/1296 - Likewise, for the 2nd fraction, since 81 × 16 = 1296,
56/81 = 56 × 16/81 × 16 = 896/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 648/1296 < 896/1296 or 8/16 < 56/81
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