Compare 4/16 and 21/81
4/16 is smaller than 21/81
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,
4/16 = 4 × 81/16 × 81 = 324/1296 - Likewise, for the 2nd fraction, since 81 × 16 = 1296,
21/81 = 21 × 16/81 × 16 = 336/1296 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/1296 < 336/1296 or 4/16 < 21/81
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