12. (3 1/6 - 5 1/6 : 4 2/3) * 3/32 =

12. $$(3 \frac{1}{6} - 5 \frac{1}{6} : 4 \frac{2}{3}) \cdot \frac{3}{32} = (\frac{19}{6} - \frac{31}{6} : \frac{14}{3}) \cdot \frac{3}{32} = (\frac{19}{6} - \frac{31}{6} \cdot \frac{3}{14}) \cdot \frac{3}{32} = (\frac{19}{6} - \frac{31 \cdot 3}{6 \cdot 14}) \cdot \frac{3}{32} = (\frac{19}{6} - \frac{31 \cdot 1}{2 \cdot 14}) \cdot \frac{3}{32} = (\frac{19}{6} - \frac{31}{28}) \cdot \frac{3}{32} = (\frac{19^{(14}}{6} - \frac{31^{(3}}{28}) \cdot \frac{3}{32} = (\frac{266}{84} - \frac{93}{84}) \cdot \frac{3}{32} = \frac{266 - 93}{84} \cdot \frac{3}{32} = \frac{173}{84} \cdot \frac{3}{32} = \frac{173 \cdot 3}{84 \cdot 32} = \frac{173 \cdot 1}{28 \cdot 32} = \frac{173}{896}$$

Ответ: 173/896