Compare 27/9 and 49/12
1st number: 3 0/9, 2nd number: 4 1/12
27/9 is smaller than 49/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 12 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
27/9 = 27 × 4/9 × 4 = 108/36 - Likewise, for the 2nd fraction, since 12 × 3 = 36,
49/12 = 49 × 3/12 × 3 = 147/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/36 < 147/36 or 27/9 < 49/12
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