Compare 20/6 and 75/40
1st number: 3 2/6, 2nd number: 1 35/40
20/6 is greater than 75/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 6 × 20 = 120,
20/6 = 20 × 20/6 × 20 = 400/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
75/40 = 75 × 3/40 × 3 = 225/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/120 > 225/120 or 20/6 > 75/40
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