To solve this problem, we first need to find a common denominator for the fractions:

14/15 + 3/2 + 16/15 + 1/2

The common denominator for 15 and 2 is 30. So, we can rewrite the fractions with a denominator of 30:

(14/15) (2/2) = 28/30
(3/2) (15/15) = 45/30
(16/15) (2/2) = 32/30
(1/2) (15/15) = 15/30

Now we can add the fractions together:

28/30 + 45/30 + 32/30 + 15/30 = 120/30 = 4

Therefore, 14/15 + 3/2 + 16/15 + 1/2 = 4.