Compare 5/2 and 75/27
1st number: 2 1/2, 2nd number: 2 21/27
5/2 is smaller than 75/27
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,
5/2 = 5 × 27/2 × 27 = 135/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
75/27 = 75 × 2/27 × 2 = 150/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/54 < 150/54 or 5/2 < 75/27
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