Compare 40/20 and 81/15
1st number: 2 0/20, 2nd number: 5 6/15
40/20 is smaller than 81/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 15 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 20 × 3 = 60,
40/20 = 40 × 3/20 × 3 = 120/60 - Likewise, for the 2nd fraction, since 15 × 4 = 60,
81/15 = 81 × 4/15 × 4 = 324/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/60 < 324/60 or 40/20 < 81/15
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