б) $$\frac{10\frac{10}{11}:12}{2\frac{21}{22}}\cdot 6\frac{1}{2}$$;

Решим пример:

1. $$10\frac{10}{11} = \frac{10 \cdot 11 + 10}{11} = \frac{120}{11}$$;
2. $$2\frac{21}{22} = \frac{2 \cdot 22 + 21}{22} = \frac{65}{22}$$;
3. $$6\frac{1}{2} = \frac{6 \cdot 2 + 1}{2} = \frac{13}{2}$$;
4. $$\frac{120}{11} : 12 = \frac{120}{11} : \frac{12}{1} = \frac{120}{11 \cdot 12} = \frac{10}{11}$$;
5. $$\frac{10}{11} : \frac{65}{22} = \frac{10 \cdot 22}{11 \cdot 65} = \frac{10 \cdot 2}{65} = \frac{20}{65} = \frac{4}{13}$$;
6. $$\frac{4}{13} \cdot \frac{13}{2} = \frac{4 \cdot 13}{13 \cdot 2} = \frac{4}{2} = 2$$.

Ответ: $$2$$