Compare 10/81 and 40/6
1st number: 10/81, 2nd number: 6 4/6
10/81 is smaller than 40/6
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,
10/81 = 10 × 2/81 × 2 = 20/162 - Likewise, for the 2nd fraction, since 6 × 27 = 162,
40/6 = 40 × 27/6 × 27 = 1080/162 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/162 < 1080/162 or 10/81 < 40/6
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