Compare 21/8 and 81/5
1st number: 2 5/8, 2nd number: 16 1/5
21/8 is smaller than 81/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 5 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 8 × 5 = 40,
21/8 = 21 × 5/8 × 5 = 105/40 - Likewise, for the 2nd fraction, since 5 × 8 = 40,
81/5 = 81 × 8/5 × 8 = 648/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/40 < 648/40 or 21/8 < 81/5
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