a: \(\dfrac{11}{25}\cdot\left(-24,8\right)-75,2\cdot\dfrac{11}{25}\)
\(=\dfrac{11}{25}\left(-24,8-75,2\right)\)
\(=\dfrac{11}{25}\cdot\left(-100\right)=-44\)
b: \(\left(-0,25\right)\cdot\dfrac{4}{17}\cdot\left(-3\dfrac{5}{21}\right)\cdot\dfrac{-7}{23}\)
\(=-\dfrac{1}{17}\cdot\dfrac{-68}{21}\cdot\dfrac{-7}{23}\)
\(=\dfrac{68}{17}\cdot\dfrac{7}{21}\cdot\dfrac{1}{23}=\dfrac{4}{3\cdot23}=\dfrac{4}{69}\)
c: \(\left(-\dfrac{5}{6}+\dfrac{2}{5}\right):\dfrac{3}{8}+\left(\dfrac{4}{5}-\dfrac{11}{30}\right)\cdot\dfrac{8}{3}\)
\(=\left(-\dfrac{5}{6}+\dfrac{2}{5}\right)\cdot\dfrac{8}{3}+\left(\dfrac{4}{5}-\dfrac{11}{30}\right)\cdot\dfrac{8}{3}\)
\(=\dfrac{8}{3}\left(-\dfrac{5}{6}+\dfrac{2}{5}+\dfrac{4}{5}-\dfrac{11}{30}\right)\)
\(=\dfrac{8}{3}\left(-\dfrac{25}{30}+\dfrac{36}{30}-\dfrac{11}{30}\right)=0\)
d: \(\dfrac{3}{5}\cdot\dfrac{6}{7}+\dfrac{3}{7}:\dfrac{5}{3}-\dfrac{2}{7}:1\dfrac{2}{3}\)
\(=\dfrac{3}{5}\cdot\dfrac{6}{7}+\dfrac{3}{7}\cdot\dfrac{3}{5}-\dfrac{2}{7}\cdot\dfrac{3}{5}\)
\(=\dfrac{3}{5}\left(\dfrac{6}{7}+\dfrac{3}{7}-\dfrac{2}{7}\right)=\dfrac{3}{5}\cdot\dfrac{7}{7}=\dfrac{3}{5}\)
e: \(\left(-13\dfrac{2}{5}+\dfrac{-2}{9}:2\dfrac{1}{2}+\dfrac{2}{5}\cdot\dfrac{11}{9}\right)\cdot2\dfrac{1}{2}\)
\(=\left(-\dfrac{67}{5}+\dfrac{-2}{9}:\dfrac{5}{2}+\dfrac{22}{45}\right)\cdot\dfrac{5}{2}\)
\(=\left(-\dfrac{67}{5}+\dfrac{-4}{45}+\dfrac{22}{45}\right)\cdot\dfrac{5}{2}\)
\(=\left(-\dfrac{67}{5}+\dfrac{2}{5}\right)\cdot\dfrac{5}{2}=-13\cdot\dfrac{5}{2}=-\dfrac{65}{2}\)
f: \(\left(-\dfrac{4}{5}+\dfrac{5}{7}\right):\dfrac{2}{3}+\left(-\dfrac{1}{5}+\dfrac{2}{7}\right)\cdot\dfrac{3}{2}\)
\(=\left(-\dfrac{4}{5}+\dfrac{5}{7}\right)\cdot\dfrac{3}{2}+\left(-\dfrac{1}{5}+\dfrac{2}{7}\right)\cdot\dfrac{3}{2}\)
\(=\dfrac{3}{2}\left(-\dfrac{4}{5}+\dfrac{5}{7}-\dfrac{1}{5}+\dfrac{2}{7}\right)\)
\(=\dfrac{3}{2}\cdot\left(-1+1\right)=0\)
g: \(\dfrac{4}{9}:\left(\dfrac{1}{15}-\dfrac{2}{3}\right)+\dfrac{4}{9}:\left(\dfrac{1}{11}-\dfrac{5}{22}\right)\)
\(=\dfrac{4}{9}:\left(\dfrac{1}{15}-\dfrac{10}{15}\right)+\dfrac{4}{9}:\dfrac{-3}{22}\)
\(=\dfrac{4}{9}:\left(-\dfrac{9}{15}\right)+\dfrac{4}{9}\cdot\dfrac{22}{-3}\)
\(=\dfrac{4}{9}\cdot\dfrac{-5}{3}+\dfrac{4}{9}\cdot\dfrac{-22}{3}=\dfrac{4}{9}\cdot\left(-9\right)=-4\)
h: \(\dfrac{\dfrac{2}{7}\cdot\dfrac{1}{4}-\dfrac{1}{3}\cdot\dfrac{2}{7}}{\dfrac{2}{9}\cdot\dfrac{3}{7}-\dfrac{2}{7}\cdot\dfrac{2}{5}}\)
\(=\dfrac{\dfrac{2}{7}\left(\dfrac{1}{4}-\dfrac{1}{3}\right)}{\dfrac{2}{7}\left(\dfrac{3}{9}-\dfrac{2}{5}\right)}=\dfrac{-\dfrac{1}{12}}{\dfrac{1}{3}-\dfrac{2}{5}}=-\dfrac{1}{12}:\left(\dfrac{1}{3}-\dfrac{2}{5}\right)\)
\(=-\dfrac{1}{12}:\left(\dfrac{5}{15}-\dfrac{6}{15}\right)=\dfrac{-1}{12}:\dfrac{-1}{15}=\dfrac{15}{12}=\dfrac{5}{4}\)