Compare 75/20 and 2/30
1st number: 3 15/20, 2nd number: 2/30
75/20 is greater than 2/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 30 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 30 × 2 = 60,
2/30 = 2 × 2/30 × 2 = 4/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/60 > 4/60 or 75/20 > 2/30
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