Ответ:

Решение:

\(\frac{6}{7} \times (\frac{11}{18} - \frac{5}{12}) = \frac{6}{7} \times (\frac{11 \times 2}{18 \times 2} - \frac{5 \times 3}{12 \times 3}) = \frac{6}{7} \times (\frac{22}{36} - \frac{15}{36}) = \frac{6}{7} \times \frac{7}{36} = \frac{6 \times 7}{7 \times 36} = \frac{6}{36} = \frac{1}{6}\)

Ответ: \(\frac{1}{6}\)