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 + (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.