\(\left(1\dfrac{3}{7}-\dfrac{5}{12}\right):\dfrac{4}{5}-\left(\dfrac{3}{7}-\dfrac{17}{12}\right):\dfrac{4}{5}\)
\(=\left(\dfrac{10}{7}-\dfrac{5}{12}-\dfrac{3}{7}+\dfrac{17}{12}\right):\dfrac{4}{5}\)
\(=\left[\left(\dfrac{10}{7}-\dfrac{3}{7}\right)+\left(\dfrac{17}{12}-\dfrac{5}{12}\right)\right].\dfrac{5}{4}\)
\(=\left(1+1\right).\dfrac{5}{4}\)
\(=2.\dfrac{5}{4}\)
\(=\dfrac{5}{2}\)