Compare 27/12 and 50/9
1st number: 2 3/12, 2nd number: 5 5/9
27/12 is smaller than 50/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
27/12 = 27 × 3/12 × 3 = 81/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
50/9 = 50 × 4/9 × 4 = 200/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/36 < 200/36 or 27/12 < 50/9
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