Compare 18/15 and 45/27
1st number: 1 3/15, 2nd number: 1 18/27
18/15 is smaller than 45/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 15 × 9 = 135,
18/15 = 18 × 9/15 × 9 = 162/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
45/27 = 45 × 5/27 × 5 = 225/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/135 < 225/135 or 18/15 < 45/27
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