\(\left[\left(\dfrac{1}{81}-\dfrac{3}{162}\right).\dfrac{81}{17}+\dfrac{35}{34}\right]:\left[\left(\dfrac{9}{51}+\dfrac{7}{102}\right).\dfrac{102}{5}+2017\right]\)
\(\Rightarrow\left[\left(\dfrac{2}{162}-\dfrac{3}{162}\right).\dfrac{81}{17}+\dfrac{35}{34}\right]:\left[\left(\dfrac{18}{102}+\dfrac{7}{102}\right).\dfrac{102}{5}+2017\right]\)
\(\Rightarrow\left[-\dfrac{1}{162}.\dfrac{81}{17}+\dfrac{35}{34}\right]:\left[\dfrac{25}{102}.\dfrac{102}{5}+2017\right]\)
\(\Rightarrow\left[-\dfrac{1}{34}+\dfrac{35}{34}\right]:\left[5+2017\right]\\ \Rightarrow1:\left[5+2017\right]\\ \Rightarrow1:2022=1.\dfrac{1}{2022}=\dfrac{1}{2022}\)
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