Compare 35/27 and 60/45
1st number: 1 8/27, 2nd number: 1 15/45
35/27 is smaller than 60/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 45 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
35/27 = 35 × 5/27 × 5 = 175/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
60/45 = 60 × 3/45 × 3 = 180/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/135 < 180/135 or 35/27 < 60/45
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