Compare 45/27 and 81/4
1st number: 1 18/27, 2nd number: 20 1/4
45/27 is smaller than 81/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 4 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
45/27 = 45 × 4/27 × 4 = 180/108 - Likewise, for the 2nd fraction, since 4 × 27 = 108,
81/4 = 81 × 27/4 × 27 = 2187/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/108 < 2187/108 or 45/27 < 81/4
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