The fraction \( \frac{4}{8} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
\[ \frac{4 \div 4}{8 \div 4} = \frac{1}{2} \]
Therefore, \( \frac{4}{8} \) is equivalent to \( \frac{1}{2} \).