7) 10 : 5/11; 8) 2 1/8 + 4 1/6; 9) 6 - 1 3/5; 10) 4 2/7 - 1 1/9; 11) 8 3/4 * 1 3/14; 12) 1 1/5 : 1 3/5.

Решение:

1. \( 10 : \frac{5}{11} = 10 \cdot \frac{11}{5} = 2 \cdot 11 = 22 \)
2. \( 2 \frac{1}{8} + 4 \frac{1}{6} = (2+4) + (\frac{1}{8} + \frac{1}{6}) = 6 + (\frac{3}{24} + \frac{4}{24}) = 6 + \frac{7}{24} = 6 \frac{7}{24} \)
3. \( 6 - 1 \frac{3}{5} = 6 - \frac{8}{5} = \frac{30}{5} - \frac{8}{5} = \frac{22}{5} = 4 \frac{2}{5} \)
4. \( 4 \frac{2}{7} - 1 \frac{1}{9} = \frac{30}{7} - \frac{10}{9} = \frac{270}{63} - \frac{70}{63} = \frac{200}{63} = 3 \frac{11}{63} \)
5. \( 8 \frac{3}{4} \cdot 1 \frac{3}{14} = \frac{35}{4} \cdot \frac{17}{14} = \frac{35 \cdot 17}{4 \cdot 14} = \frac{5 \cdot 7 \cdot 17}{4 \cdot 2 \cdot 7} = \frac{5 \cdot 17}{4 \cdot 2} = \frac{85}{8} = 10 \frac{5}{8} \)
6. \( 1 \frac{1}{5} : 1 \frac{3}{5} = \frac{6}{5} : \frac{8}{5} = \frac{6}{5} \cdot \frac{5}{8} = \frac{6}{8} = \frac{3}{4} \)

Ответ: 7) 22; 8) 6 7/24; 9) 4 2/5; 10) 3 11/63; 11) 10 5/8; 12) 3/4.