a: \(\left(3-\dfrac{3}{4}+\dfrac{2}{3}\right)-\left(2+\dfrac{4}{3}-\dfrac{3}{2}\right)-\left(1-\dfrac{8}{3}-\dfrac{9}{2}\right)\)
\(=3-\dfrac{3}{4}+\dfrac{2}{3}-2-\dfrac{4}{3}+\dfrac{3}{2}-1+\dfrac{8}{3}+\dfrac{9}{2}\)
\(=\left(3-2-1\right)+\left(-\dfrac{3}{4}+\dfrac{3}{2}+\dfrac{9}{2}\right)+\left(\dfrac{2}{3}-\dfrac{4}{3}+\dfrac{8}{3}\right)\)
\(=0+\left(-\dfrac{3}{4}+6\right)+\dfrac{6}{3}=2+6-\dfrac{3}{4}=8-\dfrac{3}{4}=7,25\)
b: \(-\dfrac{1}{2}-\left(-\dfrac{1}{5}\right)+\left(-\dfrac{1}{9}\right)+\dfrac{1}{127}-\dfrac{7}{8}+\left(\dfrac{4}{35}\right)-\left(-\dfrac{2}{7}\right)\)
\(=\left(-\dfrac{1}{2}-\dfrac{7}{8}\right)+\left(\dfrac{1}{5}+\dfrac{2}{7}+\dfrac{4}{35}\right)+\left(-\dfrac{1}{9}\right)+\dfrac{1}{127}\)
\(=\dfrac{-11}{8}+\dfrac{7+10+4}{35}-\dfrac{1}{9}+\dfrac{1}{127}=-\dfrac{319}{360}+\dfrac{1}{127}\)
\(=\dfrac{-40153}{45720}\)
c: \(-\dfrac{41}{32}\cdot\left(\dfrac{15}{8}-\dfrac{16}{41}\right)+\dfrac{15}{8}\left(\dfrac{41}{32}-\dfrac{8}{3}\right)\)
\(=-\dfrac{41}{32}\cdot\dfrac{15}{8}+\dfrac{41}{32}\cdot\dfrac{16}{41}+\dfrac{15}{8}\cdot\dfrac{41}{32}-\dfrac{15}{8}\cdot\dfrac{8}{3}\)
\(=\dfrac{16}{32}-\dfrac{15}{3}=\dfrac{1}{2}-5=-\dfrac{9}{2}\)