Compare 45/27 and 81/21
1st number: 1 18/27, 2nd number: 3 18/21
45/27 is smaller than 81/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
45/27 = 45 × 7/27 × 7 = 315/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
81/21 = 81 × 9/21 × 9 = 729/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/189 < 729/189 or 45/27 < 81/21
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