Compare 40/9 and 40/12
1st number: 4 4/9, 2nd number: 3 4/12
40/9 is greater than 40/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 12 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
40/9 = 40 × 4/9 × 4 = 160/36 - Likewise, for the 2nd fraction, since 12 × 3 = 36,
40/12 = 40 × 3/12 × 3 = 120/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/36 > 120/36 or 40/9 > 40/12
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