Compare 1/81 and 45/54
1/81 is smaller than 45/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 54 is 162
Next, find the equivalent fraction of both fractional numbers with denominator 162 - For the 1st fraction, since 81 × 2 = 162,
1/81 = 1 × 2/81 × 2 = 2/162 - Likewise, for the 2nd fraction, since 54 × 3 = 162,
45/54 = 45 × 3/54 × 3 = 135/162 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2/162 < 135/162 or 1/81 < 45/54
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