Compare 40/27 and 20/12
1st number: 1 13/27, 2nd number: 1 8/12
40/27 is smaller than 20/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 12 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
40/27 = 40 × 4/27 × 4 = 160/108 - Likewise, for the 2nd fraction, since 12 × 9 = 108,
20/12 = 20 × 9/12 × 9 = 180/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/108 < 180/108 or 40/27 < 20/12
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