Compare 8/27 and 12/15
8/27 is smaller than 12/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 15 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
8/27 = 8 × 5/27 × 5 = 40/135 - Likewise, for the 2nd fraction, since 15 × 9 = 135,
12/15 = 12 × 9/15 × 9 = 108/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/135 < 108/135 or 8/27 < 12/15
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