Let's simplify the expression step by step:

9 2/16 - (7 - 3 4/16) + 4 13/16

First, simplify the subtraction inside the parentheses:

7 - 3 4/16 = 6 12/16 - 3 4/16
= 3 8/16
= 3 1/2

Now substitute this back into the original expression:

9 2/16 - 3 1/2 + 4 13/16

Next, simplify the addition and subtraction:

9 2/16 - 3 1/2 + 4 13/16 = 9 2/16 - 3 1/2 + 4 13/16
= 9 2/16 - 3 1/2 + 4 13/16
= 9 2/16 - 3 8/16 + 4 13/16
= 9 - 4 + 4 13/16
= 5 + 4 13/16
= 9 13/16

Therefore, 9 2/16 - (7-3 4/16) + 4 13/16 = 9 13/16.