6 whole 1 is the numerator and 3 dominator + 2 whole 2 is the numerator and 9 is the denominator

To add these fractions, we need to find a common denominator. Since the denominator in the first fraction is 3 and the denominator in the second fraction is 9, we can multiply the numerator and denominator of the first fraction by 3 and the numerator and denominator of the second fraction by 1 to make the denominators the same.

6 1/3 = (6*3 + 1)/3 = 19/3
2 2/9 = (2*9 + 2)/9 = 20/9

Now we can add the fractions:

19/3 + 20/9 = (19*3 + 20)/3*9 = 57/27 + 20/9 = 77/27

Therefore, the result of adding these fractions is 77/27.