Let's solve this step-by-step:

1. Start with the expression inside the parentheses:  
   \( 6 \div 3 \times 4 \div 2 \).

2. Perform each operation from left to right (as multiplication and division have the same precedence, we follow the order from left to right):
   - \( 6 \div 3 = 2 \)
   - \( 2 \times 4 = 8 \)
   - \( 8 \div 2 = 4 \)

So, the expression inside the parentheses simplifies to \( 4 \).

3. Now, multiply this result by \( 2 \):
   \[
   4 \times 2 = 8
   \]

**Answer:** \( (6 \div 3 \times 4 \div 2) \times 2 = 8 \)

Would you like further clarification or details on any step?

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### Related Questions
1. How do the rules for order of operations affect expressions with multiple divisions and multiplications?
2. What is the difference between evaluating expressions from left to right and using parentheses?
3. How can expressions with exponents be approached in similar problems?
4. Why is it important to understand operator precedence in algebra?
5. How does this problem change if there were exponents instead of multiplication?

### Tip
When solving expressions, follow the order of operations (PEMDAS/BODMAS), especially for complex expressions with multiple steps.

Learn how to solve the arithmetic expression (6 ÷ 3 × 4 ÷ 2) × 2 by applying the order of operations (PEMDAS/BODMAS). This step-by-step guide helps students understand multiplication and division precedence in math, making it ideal for Grades 5-7.

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