Compare 6/2 and 84/27
1st number: 3 0/2, 2nd number: 3 3/27
6/2 is smaller than 84/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 2 × 27 = 54,
6/2 = 6 × 27/2 × 27 = 162/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
84/27 = 84 × 2/27 × 2 = 168/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/54 < 168/54 or 6/2 < 84/27
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