Compare 75/42 and 18/9
1st number: 1 33/42, 2nd number: 2 0/9
75/42 is smaller than 18/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
75/42 = 75 × 3/42 × 3 = 225/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
18/9 = 18 × 14/9 × 14 = 252/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/126 < 252/126 or 75/42 < 18/9
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