Compare 30/81 and 14/16
30/81 is smaller than 14/16
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,
30/81 = 30 × 16/81 × 16 = 480/1296 - Likewise, for the 2nd fraction, since 16 × 81 = 1296,
14/16 = 14 × 81/16 × 81 = 1134/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/1296 < 1134/1296 or 30/81 < 14/16
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