Compare 3/16 and 49/81
3/16 is smaller than 49/81
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,
3/16 = 3 × 81/16 × 81 = 243/1296 - Likewise, for the 2nd fraction, since 81 × 16 = 1296,
49/81 = 49 × 16/81 × 16 = 784/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/1296 < 784/1296 or 3/16 < 49/81
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