Compare 36/12 and 40/9
1st number: 3 0/12, 2nd number: 4 4/9
36/12 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
36/12 = 36 × 3/12 × 3 = 108/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
40/9 = 40 × 4/9 × 4 = 160/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/36 < 160/36 or 36/12 < 40/9
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