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To determine which fractions are equivalent to \( \frac{2}{6} \), let's simplify \( \frac{2}{6} \) and compare it with the given options.

1. Simplify \( \frac{2}{6} \):
   \[
   \frac{2}{6} = \frac{2 \div 2}{6 \div 2} = \frac{1}{3}
   \]
   So, we need to find all fractions in the list that are equivalent to \( \frac{1}{3} \).

2. Check each option:
   - \( \frac{4}{8} \): Simplifies to \( \frac{1}{2} \), not equivalent to \( \frac{1}{3} \).
   - \( \frac{4}{12} \): Simplifies to \( \frac{1}{3} \), so this is equivalent.
   - \( \frac{1}{4} \): Already in simplest form and not equivalent to \( \frac{1}{3} \).
   - \( \frac{1}{3} \): Matches exactly, so this is equivalent.
   - \( \frac{5}{9} \): Already in simplest form and not equivalent to \( \frac{1}{3} \).

**Correct answers:** The fractions equivalent to \( \frac{2}{6} \) are:
- \( \frac{4}{12} \)
- \( \frac{1}{3} \)

Would you like more details or have any questions?

### Related Questions
1. How do you find equivalent fractions?
2. What are other fractions equivalent to \( \frac{1}{3} \)?
3. Why is simplifying fractions useful in comparing them?
4. How do you know if two fractions are equivalent without simplifying?
5. How can we visualize fraction equivalence using diagrams?

### Tip
Always simplify fractions to make comparisons easier and more accurate.

Which fractions are equivalent to 2/6? Choose ALL the correct answers.

Identify all fractions equivalent to 2/6 in this practice question. The solution involves simplifying 2/6 and checking which of the given fractions match the simplified form, 1/3. Ideal for Grade 4 students learning about equivalent fractions.

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