6 7/8 - (3 14/16 - 2 1/8)

Convert all fractions to a common denominator of 16:

6 14/16 - (3 14/16 - 2 2/16)

Combine the whole numbers and fractions:

6 14/16 - 3 14/16 + 2 2/16

Perform the subtraction:

6 - 3 + 2 = 5

14/16 - 14/16 + 2/16 = 2/16 = 1/8

Therefore, the answer is:

5 1/8