Compare 12/9 and 90/42
1st number: 1 3/9, 2nd number: 2 6/42
12/9 is smaller than 90/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
12/9 = 12 × 14/9 × 14 = 168/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
90/42 = 90 × 3/42 × 3 = 270/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/126 < 270/126 or 12/9 < 90/42
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