Compare 5/81 and 2/5
5/81 is smaller than 2/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 5 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 81 × 5 = 405,
5/81 = 5 × 5/81 × 5 = 25/405 - Likewise, for the 2nd fraction, since 5 × 81 = 405,
2/5 = 2 × 81/5 × 81 = 162/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 25/405 < 162/405 or 5/81 < 2/5
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