To solve this expression, first simplify the fractions:

1/3 = 3/9
2/3 = 6/9

Now, add the fractions:

14 6/9 + 2 3/9

Combine the whole numbers and fractions:

16 9/9 + 3/9

Now, add the whole numbers and fractions separately:

16 + 1 = 17

So, the final result is:

17 3/9