Risolvi la seguente espressione

$$\left\{ \left( 5+\dfrac{1}{2}\right) :\left( \dfrac{5}{3}-\dfrac{4}{9}\right) -\left[ \left( 3+\dfrac{1}{4}\right) \cdot \dfrac{3}{26}+\left( \dfrac{1}{25}+\dfrac{1}{3}\right) :\dfrac{7}{50}\right] \right\} \cdot \dfrac{8}{7}=$$

$$\left\{ \left( \dfrac{10+1}{2}\right) :\left( \dfrac{15-4}{9}\right) -\left[ \left( \dfrac{12+1}{4}\right) \cdot \dfrac{3}{26}+\left( \dfrac{3+25}{75}\right) \cdot \dfrac{50}{7}\right] \right\} \cdot \dfrac{8}{7}=$$

$$\left\{ \dfrac{11}{2}\cdot \dfrac{9}{11}-\left[ \dfrac{13}{4}\cdot \dfrac{3}{26}+\dfrac{\cancelto{4}{28}}{\cancelto{3}{75}}\cdot \dfrac{\cancelto{2}{50}}{\cancelto{1}{7}}\right] \right\} \cdot \dfrac{8}{7}=$$

$$\left\{ \dfrac{9}{2}-\left[ \dfrac{3}{8}+\dfrac{8}{3}\right] \right\} \cdot \dfrac{8}{7}=$$

$$\left\{ \dfrac{9}{2}-\dfrac{73}{24}\right\} \cdot \dfrac{8}{7}=$$

$$\left\{ \dfrac{108-73}{24}\right\} \cdot \dfrac{8}{7}=$$

$$\dfrac{\cancelto{5}{35}}{\cancelto{3}{24}}\cdot \dfrac{\cancelto{1}{8}}{\cancelto{1}{7}}=$$

$$\dfrac{5}{3}$$