Compare 9/15 and 84/81
1st number: 9/15, 2nd number: 1 3/81
9/15 is smaller than 84/81
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,
9/15 = 9 × 27/15 × 27 = 243/405 - Likewise, for the 2nd fraction, since 81 × 5 = 405,
84/81 = 84 × 5/81 × 5 = 420/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/405 < 420/405 or 9/15 < 84/81
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