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To solve this problem, we need to identify pairs of equivalent fractions from the given fractions.

**Given fractions:**
- Top row: \( \frac{2}{4}, \frac{2}{3}, \frac{2}{8}, \frac{2}{6} \)
- Bottom row: \( \frac{1}{4}, \frac{8}{12}, \frac{4}{8}, \frac{1}{3} \)

**Steps to determine equivalency:**

1. **Match \( \frac{2}{4} \):** This fraction simplifies to \( \frac{1}{2} \). Looking at the options, none in the bottom row are exactly \( \frac{1}{2} \), so let's check other matches.
   
2. **Match \( \frac{2}{8} \):** Simplifies to \( \frac{1}{4} \), which matches with \( \frac{1}{4} \).

3. **Match \( \frac{2}{6} \):** Simplifies to \( \frac{1}{3} \), which matches with \( \frac{1}{3} \).

4. **Match \( \frac{2}{3} \):** Doesn't simplify further but is equivalent to \( \frac{8}{12} \) (when both the numerator and denominator are divided by 4).

**Final pairs of equivalent fractions:**

- \( \frac{2}{4} \) matches with \( \frac{4}{8} \)
- \( \frac{2}{8} \) matches with \( \frac{1}{4} \)
- \( \frac{2}{6} \) matches with \( \frac{1}{3} \)
- \( \frac{2}{3} \) matches with \( \frac{8}{12} \)

Let me know if you'd like further clarification on these steps, or if you have other questions!

### Related Questions
1. How do you find equivalent fractions by simplifying?
2. What other pairs of equivalent fractions can be created from the numbers 1-10?
3. How do you find a common denominator between two fractions?
4. Why is \( \frac{2}{4} \) equivalent to \( \frac{1}{2} \) but not in this question set?
5. Can fractions have multiple equivalent values?

### Tip
Always check if you can simplify fractions to find their equivalent values easily.

Learn how to match pairs of equivalent fractions by simplifying or cross-checking with this Grade 4 math problem. Includes step-by-step explanation for identifying equivalent fractions like 2/4 and 4/8.

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