To solve this problem, we need to find the difference between -1/16 and -(-1/15).

First, let's simplify -(-1/15). The double negative cancels out, so -(-1/15) becomes 1/15.

Now, we can subtract 1/16 from 1/15:

1/15 - 1/16

To subtract fractions, we need a common denominator. The least common multiple of 15 and 16 is 240, so we can rewrite the fractions with this denominator:

(1/15) * (16/16) - (1/16) * (15/15)

16/240 - 15/240

Now that the fractions have the same denominator, we can subtract the numerators:

(16 - 15)/240

1/240

Therefore, -1/16 - (-1/15) is equal to 1/240.