Compare the fractions by converting to decimals or finding a common denominator.

• \( \frac{2}{5} = 0.4 \)
• \( \frac{3}{7} \approx 0.429 \)
• \( \frac{4}{11} \approx 0.364 \)
• \( \frac{5}{2} = 2.5 \)

The smallest value is \( \frac{4}{11} \).

Final Answer: \( \frac{4}{11} \)