Compare 27/84 and 10/9
1st number: 27/84, 2nd number: 1 1/9
27/84 is smaller than 10/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
27/84 = 27 × 3/84 × 3 = 81/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
10/9 = 10 × 28/9 × 28 = 280/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/252 < 280/252 or 27/84 < 10/9
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