Compare 8/5 and 81/28
1st number: 1 3/5, 2nd number: 2 25/28
8/5 is smaller than 81/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 28 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 5 × 28 = 140,
8/5 = 8 × 28/5 × 28 = 224/140 - Likewise, for the 2nd fraction, since 28 × 5 = 140,
81/28 = 81 × 5/28 × 5 = 405/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/140 < 405/140 or 8/5 < 81/28
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