Compare 75/20 and 42/3
1st number: 3 15/20, 2nd number: 14 0/3
75/20 is smaller than 42/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 3 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 20 × 3 = 60,
75/20 = 75 × 3/20 × 3 = 225/60 - Likewise, for the 2nd fraction, since 3 × 20 = 60,
42/3 = 42 × 20/3 × 20 = 840/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/60 < 840/60 or 75/20 < 42/3
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