Add 40/9 and 30/12
1st number: 4 4/9, 2nd number: 2 6/12
40/9 + 30/12 is 125/18.
Steps for adding 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,
30/12 = 30 × 3/12 × 3 = 90/36 - Add the two like fractions:
160/36 + 90/36 = 160 + 90/36 = 250/36 - 250/36 simplified gives 125/18
- So, 40/9 + 30/12 = 125/18
In mixed form: 617/18
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