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