Compare 30/27 and 40/12
1st number: 1 3/27, 2nd number: 3 4/12
30/27 is smaller than 40/12
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,
30/27 = 30 × 4/27 × 4 = 120/108 - Likewise, for the 2nd fraction, since 12 × 9 = 108,
40/12 = 40 × 9/12 × 9 = 360/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/108 < 360/108 or 30/27 < 40/12
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