To determine which of the fractions are equivalent to \( \frac{2}{4} \), we can simplify \( \frac{2}{4} \) and then compare it to the other fractions.
- Simplifying \( \frac{2}{4} \): \[ \frac{2}{4} = \frac{1}{2} \]
Now, let's check each of the given fractions:
- \( \frac{1}{2} \) - This is equivalent to \( \frac{2}{4} \).
- \( \frac{3}{6} \) - Simplifying this gives \( \frac{3 \div 3}{6 \div 3} = \frac{1}{2} \), so it is equivalent.
- \( \frac{4}{8} \) - Simplifying this gives \( \frac{4 \div 4}{8 \div 4} = \frac{1}{2} \), so it is equivalent.
- \( \frac{2}{3} \) - This cannot be simplified to \( \frac{1}{2} \) and is not equivalent.
The fractions that are equivalent to \( \frac{2}{4} \) are:
- \( \frac{1}{2} \)
- \( \frac{3}{6} \)
- \( \frac{4}{8} \)
Thus, the correct selections are:
- \( \frac{1}{2} \)
- \( \frac{3}{6} \)
- \( \frac{4}{8} \)