$$\left\{ \left[ \left( \dfrac{3}{4}-\dfrac{1}{2}+\dfrac{5}{6}\right) :\left( \dfrac{4}{3}-\dfrac{1}{12}-1\right) \right] :\dfrac{2}{3}\right\} :\left\{ \left[ \left( \dfrac{8}{9}-\dfrac{1}{3}+\dfrac{3}{2}\right) -\dfrac{5}{3}:\dfrac{10}{9}-\dfrac{1}{2}\right] :\dfrac{2}{9}\right\} +1=$$

$$\left\{ \left[ \left( \dfrac{9-6+10}{12}\right) :\left( \dfrac{16-1-12}{12}\right) \right] \cdot \dfrac{3}{2}\right\} :\left\{ \left[ \left( \dfrac{16-6+27}{18}\right) -\dfrac{5}{3}\cdot \dfrac{9}{10}-\dfrac{1}{2}\right] \cdot \dfrac{9}{2}\right\} +1=$$

$$\left\{ \left[ \dfrac{13}{12}\cdot \dfrac{12}{3}\right] \cdot \dfrac{3}{2}\right\} :\left\{ \left[ \dfrac{31}{10}-\dfrac{3}{2}-\dfrac{1}{2}\right] \cdot \dfrac{9}{2}\right\} +1=$$

$$\left\{ \dfrac{13}{3}\cdot \dfrac{3}{2}\right\} :\left[ \dfrac{1}{18}\cdot \dfrac{9}{2}\right] +1=$$

$$\dfrac{13}{2}\cdot 4+1$$

$$26+1=$$

$$27$$