1/8 + (5/9 - 1/4)

First, we need to simplify the expression within the parentheses:

5/9 - 1/4 = (20/36) - (9/36) = 11/36

Now we can add the fractions:

1/8 + 11/36

To add fractions with different denominators, we need to find a common denominator. In this case, the least common denominator is 72. So we need to rewrite the fractions with this denominator:

1/8 = 9/72
11/36 = 22/72

Now we can add the fractions:

9/72 + 22/72 = 31/72

Therefore, the final answer is 31/72.