4 4/5 2 1/2 = (24/5) (5/2)
= 48/10
= 4 4/10
= 4 2/5

6 3/8 16/17 = (51/8) (16/17)
= 816/136
= 6 3/17

Adding the two results:

4 2/5 + 6 3/17 = 4 + 6 + 2/5 + 3/17
= 10 + 41/85
= 10 41/85

Therefore, 4 4/5 2 1/2 + 6 3/8 16/17 = 10 41/85.