Compare 1/81 and 32/15
1st number: 1/81, 2nd number: 2 2/15
1/81 is smaller than 32/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 15 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 81 × 5 = 405,
1/81 = 1 × 5/81 × 5 = 5/405 - Likewise, for the 2nd fraction, since 15 × 27 = 405,
32/15 = 32 × 27/15 × 27 = 864/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 5/405 < 864/405 or 1/81 < 32/15
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