Compare 1/2 and 80/81
1/2 is smaller than 80/81
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,
1/2 = 1 × 81/2 × 81 = 81/162 - Likewise, for the 2nd fraction, since 81 × 2 = 162,
80/81 = 80 × 2/81 × 2 = 160/162 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/162 < 160/162 or 1/2 < 80/81
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