Compare 45/54 and 81/28
1st number: 45/54, 2nd number: 2 25/28
45/54 is smaller than 81/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 28 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 54 × 14 = 756,
45/54 = 45 × 14/54 × 14 = 630/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
81/28 = 81 × 27/28 × 27 = 2187/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 630/756 < 2187/756 or 45/54 < 81/28
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