d) \(\dfrac{3}{8}:\dfrac{-25}{7}-\dfrac{3}{8}:\dfrac{25}{18}+2\dfrac{3}{8}\)
\(=\dfrac{3}{8}.\dfrac{7}{-25}-\dfrac{3}{8}.\dfrac{18}{25}+\dfrac{19}{8}\)
\(=-\dfrac{3}{8.25}.\left(7+18\right)+\dfrac{19}{8}\)
\(=-\dfrac{3}{8.25}.25+\dfrac{19}{8}\)
\(=-\dfrac{3}{8}+\dfrac{19}{8}=\dfrac{16}{8}=2\)
e) \(\dfrac{-9}{16}.\dfrac{13}{3}-\left(\dfrac{-3}{4}\right)^2.\dfrac{19}{3}\)
\(=-\dfrac{3.13}{16}-\dfrac{9}{16}.\dfrac{19}{3}\)
\(=-\dfrac{3.13}{16}-\dfrac{3.19}{16}\)
\(=-\dfrac{3}{16}.\left(13+19\right)\)
\(=-\dfrac{3}{16}.32=-3.2=-6\)
f) \(\dfrac{11}{17}.\dfrac{9}{23}+\dfrac{11}{23}.\dfrac{-32}{17}\)
\(=\dfrac{11}{17.23}.\left(9-32\right)\)
\(=\dfrac{11}{17.23}.\left(-23\right)\)
\(=-\dfrac{11}{17}\)