Compare 40/15 and 21/20
1st number: 2 10/15, 2nd number: 1 1/20
40/15 is greater than 21/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 20 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 15 × 4 = 60,
40/15 = 40 × 4/15 × 4 = 160/60 - Likewise, for the 2nd fraction, since 20 × 3 = 60,
21/20 = 21 × 3/20 × 3 = 63/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/60 > 63/60 or 40/15 > 21/20
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