So the problem is:
6 1/3 + 1 2/3 + 5 5/9
The first step, what I like to do when I add/subtract mixed fractions is to break them apart, whole numbers and fractions separated:
(6 + 1 + 5) + (1/3 + 2/3 + 5/9)
Next step is to calculate the sum in the parentheses:
(12) + (14/9)
Now convert the improper fraction to a mixed fraction:
(12) + (1 5/9)
Now break the mixed fraction apart again:
(12) + (1) + (5/9)
Add the whole numbers:
(13) + (5/9)
And last step, add them together:
13 5/9
That’s your answer!
I hope this helped! This is the easiest method to learn and use (in my opinion), but is probably longer than some others.