Compare 8/15 and 8/81
8/15 is greater than 8/81
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,
8/15 = 8 × 27/15 × 27 = 216/405 - Likewise, for the 2nd fraction, since 81 × 5 = 405,
8/81 = 8 × 5/81 × 5 = 40/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/405 > 40/405 or 8/15 > 8/81
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