Compare 9/16 and 84/81
1st number: 9/16, 2nd number: 1 3/81
9/16 is smaller than 84/81
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,
9/16 = 9 × 81/16 × 81 = 729/1296 - Likewise, for the 2nd fraction, since 81 × 16 = 1296,
84/81 = 84 × 16/81 × 16 = 1344/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 729/1296 < 1344/1296 or 9/16 < 84/81
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