Compare 81/2 and 21/14
1st number: 40 1/2, 2nd number: 1 7/14
81/2 is greater than 21/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 14 is 14
Next, find the equivalent fraction of both fractional numbers with denominator 14 - For the 1st fraction, since 2 × 7 = 14,
81/2 = 81 × 7/2 × 7 = 567/14 - Likewise, for the 2nd fraction, since 14 × 1 = 14,
21/14 = 21 × 1/14 × 1 = 21/14 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/14 > 21/14 or 81/2 > 21/14
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