Compare 2/81 and 30/50
2/81 is smaller than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 50 is 4050
Next, find the equivalent fraction of both fractional numbers with denominator 4050 - For the 1st fraction, since 81 × 50 = 4050,
2/81 = 2 × 50/81 × 50 = 100/4050 - Likewise, for the 2nd fraction, since 50 × 81 = 4050,
30/50 = 30 × 81/50 × 81 = 2430/4050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/4050 < 2430/4050 or 2/81 < 30/50
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