2) (6\frac{3}{4} - 5\frac{1}{8}) : 1\frac{9}{32} \cdot \frac{5}{11};

Решение:

1. 6\frac{3}{4} = \frac{6 \cdot 4 + 3}{4} = \frac{27}{4}
2. 5\frac{1}{8} = \frac{5 \cdot 8 + 1}{8} = \frac{41}{8}
3. 6\frac{3}{4} - 5\frac{1}{8} = \frac{27}{4} - \frac{41}{8} = \frac{27 \cdot 2}{4 \cdot 2} - \frac{41}{8} = \frac{54}{8} - \frac{41}{8} = \frac{13}{8}
4. 1\frac{9}{32} = \frac{1 \cdot 32 + 9}{32} = \frac{41}{32}
5. (\frac{13}{8}) : (\frac{41}{32}) = \frac{13}{8} \cdot \frac{32}{41} = \frac{13 \cdot 32}{8 \cdot 41} = \frac{13 \cdot 4}{1 \cdot 41} = \frac{52}{41}
6. \frac{52}{41} \cdot \frac{5}{11} = \frac{52 \cdot 5}{41 \cdot 11} = \frac{260}{451}

Ответ: \( \frac{260}{451} \)