Add 40/12 and 10/9
1st number: 3 4/12, 2nd number: 1 1/9
40/12 + 10/9 is 40/9.
Steps for adding 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,
40/12 = 40 × 3/12 × 3 = 120/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
10/9 = 10 × 4/9 × 4 = 40/36 - Add the two like fractions:
120/36 + 40/36 = 120 + 40/36 = 160/36 - 160/36 simplified gives 40/9
- So, 40/12 + 10/9 = 40/9
In mixed form: 44/9
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