\(\dfrac{15}{16}:\dfrac{9}{32}-\dfrac{15}{16}:\dfrac{9}{14}-\dfrac{17}{16}\cdot\left(-2\right)+2021\)
\(=\dfrac{15}{16}\left(\dfrac{32}{9}-\dfrac{14}{9}\right)-\dfrac{17}{16}\cdot\left(-2\right)+2021\)
\(=\dfrac{15}{16}\cdot2+\dfrac{17}{16}\cdot2+2021\)
=2025