`12345/12346+12346/12347+12347/12345` is equal to :

Options

A. 2.67
B. 6.27
C. 3
D. 5

Answer

To solve the expression \( \frac{12345}{12346} + \frac{12346}{12347} + \frac{12347}{12345} \), we can use the method of approximation to simplify our calculations.

### Step-by-Step Solution:

1. **Approximate Each Fraction:**
- For the first term \( \frac{12345}{12346} \):
\[ \frac{12345}{12346} \approx 1 - \frac{1}{12346} \approx 1 - 0.000081 \approx 0.999919 \]
- For the second term \( \frac{12346}{12347} \):
\[ \frac{12346}{12347} \approx 1 - \frac{1}{12347} \approx 1 - 0.000081 \approx 0.999919 \]
- For the third term \( \frac{12347}{12345} \):
\[ \frac{12347}{12345} \approx 1 + \frac{2}{12345} \approx 1 + 0.000162 \approx 1.000162 \]

2. **Combine the Approximations:**
- Now, we can add the approximated values:
\[ 0.999919 + 0.999919 + 1.000162 \]
- Adding these together:
\[ 0.999919 + 0.999919 = 1.999838 \]
\[ 1.999838 + 1.000162 = 3.000000 \]

3. **Final Result:**
- Therefore, the value of the expression \( \frac{12345}{12346} + \frac{12346}{12347} + \frac{12347}{12345} \) is approximately:
\[ \approx 3 \]

### Conclusion:
The final answer is approximately \( 3 \).