First make each fraction into an improper fraction
2 2/3 = 8/3
1 5/6 = 11/6
Next, make the fractions have same denominators. Note, that what you do to the denominator, you do to the numerator.
8/3(2/2) = 16/6
Add
16/6 + 11/6 = 27/6
27/6 = 4 3/6 = 4 1/2
4 1/2 is your simplified answer
hope this helps