Risolvi la seguente espressione

$$\left( \dfrac{5}{7}-\dfrac{3}{14}\right) \cdot \left[ 1-\dfrac{5}{6}\cdot \left( \dfrac{11}{9}\cdot \dfrac{3}{22}+\dfrac{1}{4}\right) \cdot \dfrac{8}{25}\right] -\dfrac{1}{5}$$

$$\left( \dfrac{10-3}{14}\right) \cdot \left[ 1-\dfrac{5}{6}\cdot \left( \dfrac{1}{6}+\dfrac{1}{4}\right) \cdot \dfrac{8}{25}\right] -\dfrac{1}{5}$$

$$\dfrac{7}{14}\cdot \left[ 1-\dfrac{5}{6}\cdot \dfrac{10}{24}\cdot \dfrac{8}{25}\right] -\dfrac{1}{5}=$$

$$\dfrac{7}{14}\cdot \left[ 1-\dfrac{1}{9}\right] -\dfrac{1}{5}=$$

$$\dfrac{7}{14}\cdot \left[ \dfrac{9-1}{9}\right] -\dfrac{1}{5}=$$

$$\dfrac{7}{14}\cdot \dfrac{8}{9}-\dfrac{1}{5}=$$

$$\dfrac{1}{2}\cdot \dfrac{8}{9}-\dfrac{1}{5}=$$

$$\dfrac{4}{9}-\dfrac{1}{5}=$$

$$\dfrac{20-9}{45}=$$

$$\dfrac{11}{45}$$