a: \(=\dfrac{3}{4}-\dfrac{5}{2}-\dfrac{5}{3}-\dfrac{1}{8}=-\dfrac{85}{24}\)
b: \(=\dfrac{13}{3}\left(\dfrac{1}{6}-\dfrac{1}{2}\right)+\dfrac{91}{45}=\dfrac{26}{45}\)
\(75\%-\left(\dfrac{5}{2}+\dfrac{5}{3}\right)+\left(-\dfrac{1}{2}\right)^3\)
\(=\dfrac{3}{4}-\left(\dfrac{5}{2}+\dfrac{5}{3}\right)+\left(-\dfrac{1}{8}\right)\)
\(=\dfrac{3}{4}-\dfrac{25}{6}+\left(-\dfrac{1}{8}\right)\)
\(=\left(-\dfrac{41}{12}\right)+\left(-\dfrac{1}{8}\right)\)
\(=-\dfrac{85}{24}\)
\(4\dfrac{1}{3}.\dfrac{1}{6}-\dfrac{1}{2}.4\dfrac{1}{3}+\left|\dfrac{-13}{3}.\dfrac{7}{15}\right|\)
\(=\dfrac{13}{3}.\dfrac{1}{6}-\dfrac{1}{2}.\dfrac{13}{3}+\left|\dfrac{-13}{3}.\dfrac{7}{15}\right|\)
\(=\dfrac{13}{3}.\dfrac{1}{6}-\dfrac{1}{2}.\dfrac{13}{3}+\left(-\dfrac{91}{45}\right)\)
\(=\dfrac{13}{3}.\left(\dfrac{1}{6}-\dfrac{1}{2}\right)+\left(-\dfrac{91}{45}\right)\)
\(=\dfrac{13}{3}.\left(-\dfrac{1}{3}\right)+\left(-\dfrac{91}{45}\right)\)
\(=\left(-\dfrac{13}{9}\right)+\left(-\dfrac{91}{45}\right)\)
\(=-\dfrac{52}{15}\)
