The fraction \( \frac{2}{4} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
So,
\[ \frac{2 \div 2}{4 \div 2} = \frac{1}{2} \]
Thus, \( \frac{2}{4} \) is equivalent to \( \frac{1}{2} \).
Other equivalent fractions include \( \frac{4}{8} \), \( \frac{6}{12} \), and \( \frac{10}{20} \), among others.