Add 40/9 and 49/12
1st number: 4 4/9, 2nd number: 4 1/12
40/9 + 49/12 is 307/36.
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,
49/12 = 49 × 3/12 × 3 = 147/36 - Add the two like fractions:
160/36 + 147/36 = 160 + 147/36 = 307/36 - So, 40/9 + 49/12 = 307/36
In mixed form: 819/36
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