Compare 9/12 and 75/40
1st number: 9/12, 2nd number: 1 35/40
9/12 is smaller than 75/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 12 × 10 = 120,
9/12 = 9 × 10/12 × 10 = 90/120 - 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
- 90/120 < 225/120 or 9/12 < 75/40
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