\(3 - \frac{1}{7} \cdot \frac{1}{11} = 3 - \frac{1 \cdot 1}{7 \cdot 11} = 3 - \frac{1}{77} = \frac{3 \cdot 77}{77} - \frac{1}{77} = \frac{231 - 1}{77} = \frac{230}{77}\)
Ответ: \(\frac{230}{77}\).