Compare 21/2 and 84/81
1st number: 10 1/2, 2nd number: 1 3/81
21/2 is greater than 84/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 81 is 162
Next, find the equivalent fraction of both fractional numbers with denominator 162 - For the 1st fraction, since 2 × 81 = 162,
21/2 = 21 × 81/2 × 81 = 1701/162 - Likewise, for the 2nd fraction, since 81 × 2 = 162,
84/81 = 84 × 2/81 × 2 = 168/162 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1701/162 > 168/162 or 21/2 > 84/81
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