If the signs '+' and `'div'` and the number '2' and '4' are interchanged, which one of the following four equations would be correct /

Options

A. `4 div 2 + 3 = 6`
B. `2 + 4 div 3 = 3 `
C. `4 + 2 div 6 = 1.5`
D. `2 + 4 div 6 = 8 `

Answer

To solve the problem, we need to interchange the signs '+' and 'div' (division) and the numbers '2' and '4' in each of the given equations. Let's analyze each option step by step.

### Step-by-Step Solution:

1. **Option A: 4 div 2 + 3**
- Interchange '4' with '2': 2 div 4 + 3
- Interchange 'div' with '+': 2 + 4 + 3
- Calculate:
- First, perform the addition: 2 + 4 = 6
- Then, add 3: 6 + 3 = 9
- Result: 9 (which does not equal 6)
- Conclusion: Option A is incorrect.

2. **Option B: 2 + 4 div 3**
- Interchange '2' with '4': 4 + 2 div 3
- Interchange '+' with 'div': 4 div 2 + 3
- Calculate:
- First, perform the division: 4 div 2 = 2
- Then, add 3: 2 + 3 = 5
- Result: 5 (which does not equal 3)
- Conclusion: Option B is incorrect.

3. **Option C: 4 + 2 div 6**
- Interchange '4' with '2': 2 + 4 div 6
- Interchange '+' with 'div': 2 div 4 + 6
- Calculate:
- First, perform the division: 2 div 4 = 0.5
- Then, add 6: 0.5 + 6 = 6.5
- Result: 6.5 (which does not equal 1.5)
- Conclusion: Option C is incorrect.

4. **Option D: 2 + 4 div 6**
- Interchange '2' with '4': 4 + 2 div 6
- Interchange '+' with 'div': 4 div 2 + 6
- Calculate:
- First, perform the division: 4 div 2 = 2
- Then, add 6: 2 + 6 = 8
- Result: 8 (which equals 8)
- Conclusion: Option D is correct.

### Final Answer:
The correct equation after interchanging the signs and numbers is from Option D.

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