Compare 15/81 and 40/18
1st number: 15/81, 2nd number: 2 4/18
15/81 is smaller than 40/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 18 is 162
Next, find the equivalent fraction of both fractional numbers with denominator 162 - For the 1st fraction, since 81 × 2 = 162,
15/81 = 15 × 2/81 × 2 = 30/162 - Likewise, for the 2nd fraction, since 18 × 9 = 162,
40/18 = 40 × 9/18 × 9 = 360/162 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/162 < 360/162 or 15/81 < 40/18
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