Compare 1/27 and 32/15
1st number: 1/27, 2nd number: 2 2/15
1/27 is smaller than 32/15
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,
1/27 = 1 × 5/27 × 5 = 5/135 - Likewise, for the 2nd fraction, since 15 × 9 = 135,
32/15 = 32 × 9/15 × 9 = 288/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 5/135 < 288/135 or 1/27 < 32/15
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