Compare 30/27 and 40/15
1st number: 1 3/27, 2nd number: 2 10/15
30/27 is smaller than 40/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 15 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
30/27 = 30 × 5/27 × 5 = 150/135 - Likewise, for the 2nd fraction, since 15 × 9 = 135,
40/15 = 40 × 9/15 × 9 = 360/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/135 < 360/135 or 30/27 < 40/15
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