To solve the expression \( \frac{1}{2} - \left( \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \right) \), we start by calculating the multiplication part:
\[ \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1 \times 1}{2 \times 2 \times 2} = \frac{1}{8} \]
Now we substitute this result back into the expression:
\[ \frac{1}{2} - \frac{1}{8} \]
Next, we need a common denominator to perform the subtraction. The common denominator between 2 and 8 is 8. We can convert \(\frac{1}{2}\) to eighths:
\[ \frac{1}{2} = \frac{4}{8} \]
Now, we can subtract:
\[ \frac{4}{8} - \frac{1}{8} = \frac{4 - 1}{8} = \frac{3}{8} \]
Thus, the final result is:
\[ \frac{3}{8} \]