Решение: \(\frac{2}{11} + \frac{2}{5} : \frac{37}{55} = \frac{2}{11} + \frac{2}{5} \cdot \frac{55}{37} = \frac{2}{11} + \frac{2 \cdot 11}{37} = \frac{2}{11} + \frac{22}{37} = \frac{2 \cdot 37 + 22 \cdot 11}{11 \cdot 37} = \frac{74 + 242}{407} = \frac{316}{407}\). Ответ: \(\frac{316}{407}\)
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