Compare 4/12 and 15/27
4/12 is smaller than 15/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
4/12 = 4 × 9/12 × 9 = 36/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
15/27 = 15 × 4/27 × 4 = 60/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/108 < 60/108 or 4/12 < 15/27
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