Compare 75/2 and 35/27
1st number: 37 1/2, 2nd number: 1 8/27
75/2 is greater than 35/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 2 × 27 = 54,
75/2 = 75 × 27/2 × 27 = 2025/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
35/27 = 35 × 2/27 × 2 = 70/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2025/54 > 70/54 or 75/2 > 35/27
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