Compare 1/81 and 40/9
1st number: 1/81, 2nd number: 4 4/9
1/81 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 9 is 81
Next, find the equivalent fraction of both fractional numbers with denominator 81 - For the 1st fraction, since 81 × 1 = 81,
1/81 = 1 × 1/81 × 1 = 1/81 - Likewise, for the 2nd fraction, since 9 × 9 = 81,
40/9 = 40 × 9/9 × 9 = 360/81 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1/81 < 360/81 or 1/81 < 40/9
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