2/3 = 4/6 after we multiply top and bottom by 2 (2*2 = 4, 2*3 = 6)
So we can turn
5/6 + 2/3
into
5/6 + 4/6
Then add the numerators to get 5+4 = 9
So 5/6 + 4/6 = 9/6 which reduces to 3/2 (divide both parts by 3)
The last thing to do is convert 3/2 into a mixed number. If you use long division you'll find that 3 divided by 2 = 1 remainder 1
Or you can think of it like this
3/2 = (2+1)/2 = 2/2 + 1/2 = 1 + 1/2 = 1&1/2
So the final answer, as a mixed number, is 1 & 1/2
Whole part = 1
Fraction part = 1/2