Compare 75/40 and 60/12
1st number: 1 35/40, 2nd number: 5 0/12
75/40 is smaller than 60/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 12 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
75/40 = 75 × 3/40 × 3 = 225/120 - Likewise, for the 2nd fraction, since 12 × 10 = 120,
60/12 = 60 × 10/12 × 10 = 600/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/120 < 600/120 or 75/40 < 60/12
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