Compare 2/12 and 15/54
2/12 is smaller than 15/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 54 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
2/12 = 2 × 9/12 × 9 = 18/108 - Likewise, for the 2nd fraction, since 54 × 2 = 108,
15/54 = 15 × 2/54 × 2 = 30/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/108 < 30/108 or 2/12 < 15/54
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