Compare 1/15 and 40/81
1/15 is smaller than 40/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 81 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 15 × 27 = 405,
1/15 = 1 × 27/15 × 27 = 27/405 - Likewise, for the 2nd fraction, since 81 × 5 = 405,
40/81 = 40 × 5/81 × 5 = 200/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/405 < 200/405 or 1/15 < 40/81
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