Compare 45/54 and 81/21
1st number: 45/54, 2nd number: 3 18/21
45/54 is smaller than 81/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 21 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
45/54 = 45 × 7/54 × 7 = 315/378 - Likewise, for the 2nd fraction, since 21 × 18 = 378,
81/21 = 81 × 18/21 × 18 = 1458/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/378 < 1458/378 or 45/54 < 81/21
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