b: \(35\dfrac{1}{6}:\left(-\dfrac{4}{5}\right)-46\dfrac{1}{6}:\left(-\dfrac{4}{5}\right)\)
\(=\left(35+\dfrac{1}{6}\right)\cdot\dfrac{-5}{4}-\left(46+\dfrac{1}{6}\right)\cdot\dfrac{-5}{4}\)
\(=\dfrac{-5}{4}\cdot\left(35+\dfrac{1}{6}-46-\dfrac{1}{6}\right)\)
\(=-\dfrac{5}{4}\cdot\left(-11\right)=\dfrac{55}{4}\)
c: \(\left(-\dfrac{3}{4}+\dfrac{2}{5}\right):\dfrac{3}{7}+\left(\dfrac{3}{5}+\dfrac{-1}{4}\right):\dfrac{3}{7}\)
\(=\left(-\dfrac{3}{4}+\dfrac{2}{5}\right)\cdot\dfrac{7}{3}+\left(\dfrac{3}{5}+\dfrac{-1}{4}\right)\cdot\dfrac{7}{3}\)
\(=\dfrac{7}{3}\left(-\dfrac{3}{4}+\dfrac{2}{5}+\dfrac{3}{5}+\dfrac{-1}{4}\right)\)
\(=\dfrac{7}{3}\left(-1+1\right)=0\)
d: \(\dfrac{7}{8}:\left(\dfrac{2}{9}-\dfrac{1}{18}\right)+\dfrac{7}{8}\cdot\left(\dfrac{1}{36}-\dfrac{5}{12}\right)\)
\(=\dfrac{7}{8}:\dfrac{3}{18}+\dfrac{7}{8}\cdot\left(\dfrac{1}{36}-\dfrac{15}{36}\right)\)
\(=\dfrac{7}{8}\cdot6+\dfrac{7}{8}\cdot\left(-\dfrac{14}{36}\right)\)
\(=\dfrac{7}{8}\cdot\left(6-\dfrac{7}{18}\right)=\dfrac{7}{8}\cdot\dfrac{101}{18}=\dfrac{707}{144}\)
e: \(\dfrac{1}{6}+\dfrac{5}{6}\cdot\dfrac{3}{2}-\dfrac{3}{2}+1\)
\(=\dfrac{1}{6}-\dfrac{1}{2}+\dfrac{15}{12}\)
\(=\dfrac{1}{6}-\dfrac{3}{6}+\dfrac{5}{4}=\dfrac{-1}{3}+\dfrac{5}{4}=\dfrac{-4+15}{12}=\dfrac{11}{12}\)
f: \(\left(-0,75-\dfrac{1}{4}\right):\left(-5\right)+\dfrac{1}{15}-\left(-\dfrac{1}{5}\right):\left(-3\right)\)
\(=\left(-0,75-0,25\right):\left(-5\right)+\dfrac{1}{15}-\dfrac{1}{15}\)
\(=\dfrac{-1}{-5}=\dfrac{1}{5}\)
