Compare 20/14 and 81/40
1st number: 1 6/14, 2nd number: 2 1/40
20/14 is smaller than 81/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
20/14 = 20 × 20/14 × 20 = 400/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
81/40 = 81 × 7/40 × 7 = 567/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/280 < 567/280 or 20/14 < 81/40
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