Compare 27/12 and 40/15
1st number: 2 3/12, 2nd number: 2 10/15
27/12 is smaller than 40/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 15 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 12 × 5 = 60,
27/12 = 27 × 5/12 × 5 = 135/60 - Likewise, for the 2nd fraction, since 15 × 4 = 60,
40/15 = 40 × 4/15 × 4 = 160/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/60 < 160/60 or 27/12 < 40/15
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