Compare 6/27 and 20/15
1st number: 6/27, 2nd number: 1 5/15
6/27 is smaller than 20/15
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,
6/27 = 6 × 5/27 × 5 = 30/135 - Likewise, for the 2nd fraction, since 15 × 9 = 135,
20/15 = 20 × 9/15 × 9 = 180/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/135 < 180/135 or 6/27 < 20/15
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