Compare 30/81 and 30/27
1st number: 30/81, 2nd number: 1 3/27
30/81 is smaller than 30/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 27 is 81
Next, find the equivalent fraction of both fractional numbers with denominator 81 - For the 1st fraction, since 81 × 1 = 81,
30/81 = 30 × 1/81 × 1 = 30/81 - Likewise, for the 2nd fraction, since 27 × 3 = 81,
30/27 = 30 × 3/27 × 3 = 90/81 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/81 < 90/81 or 30/81 < 30/27
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