Compare 30/81 and 40/42
30/81 is smaller than 40/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 42 is 1134
Next, find the equivalent fraction of both fractional numbers with denominator 1134 - For the 1st fraction, since 81 × 14 = 1134,
30/81 = 30 × 14/81 × 14 = 420/1134 - Likewise, for the 2nd fraction, since 42 × 27 = 1134,
40/42 = 40 × 27/42 × 27 = 1080/1134 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 420/1134 < 1080/1134 or 30/81 < 40/42
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