To evaluate the expression \( \frac{1}{4} - (-\frac{5}{8}) \), we first rewrite it to simplify the subtraction of a negative number:
\[ \frac{1}{4} + \frac{5}{8} \]
Next, we need a common denominator to add these fractions. The least common multiple of 4 and 8 is 8.
Now, we convert \( \frac{1}{4} \) to a fraction with a denominator of 8:
\[ \frac{1}{4} = \frac{2}{8} \]
Now we can add the fractions:
\[ \frac{2}{8} + \frac{5}{8} = \frac{2 + 5}{8} = \frac{7}{8} \]
Thus, the evaluated expression is:
\[ \frac{7}{8} \]
Therefore, the correct answer is:
D \( \frac{7}{8} \)