Compare 2/81 and 2/6
2/81 is smaller than 2/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 6 is 162
Next, find the equivalent fraction of both fractional numbers with denominator 162 - For the 1st fraction, since 81 × 2 = 162,
2/81 = 2 × 2/81 × 2 = 4/162 - Likewise, for the 2nd fraction, since 6 × 27 = 162,
2/6 = 2 × 27/6 × 27 = 54/162 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/162 < 54/162 or 2/81 < 2/6
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