To calculate this expression, we need to first simplify the terms within the parentheses:

(11/8 - 5/16 + 1/32) =

Convert all fractions to have a common denominator of 32:

(11/8 - 10/32 + 1/32) =

(44/32 - 10/32 + 1/32) =

(35/32)

Now, we multiply this by 8/15:

(35/32) × (8/15) =

(35 × 8) / (32 × 15) =

280 / 480 =

7 / 12

Therefore, the final answer is 7/12.