Compare 21/2 and 28/27
1st number: 10 1/2, 2nd number: 1 1/27
21/2 is greater than 28/27
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,
21/2 = 21 × 27/2 × 27 = 567/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
28/27 = 28 × 2/27 × 2 = 56/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/54 > 56/54 or 21/2 > 28/27
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