Compare 45/42 and 27/18
1st number: 1 3/42, 2nd number: 1 9/18
45/42 is smaller than 27/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
45/42 = 45 × 3/42 × 3 = 135/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
27/18 = 27 × 7/18 × 7 = 189/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/126 < 189/126 or 45/42 < 27/18
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