a: \(=-15\cdot\dfrac{4}{25}=-\dfrac{60}{25}=-\dfrac{12}{5}\)
b: \(=\dfrac{-8}{27}\cdot\dfrac{9}{16}=\dfrac{-8}{16}\cdot\dfrac{1}{3}=-\dfrac{1}{6}\)
c: \(=\dfrac{2}{5}+\dfrac{56}{35}-\dfrac{7}{8}\)
\(=\dfrac{2}{5}+\dfrac{8}{5}-\dfrac{7}{8}=2-\dfrac{7}{8}=\dfrac{9}{8}\)
d: \(=-6+10\cdot\dfrac{2}{15}=-6+\dfrac{4}{3}=-\dfrac{18}{3}+\dfrac{4}{3}=-\dfrac{14}{3}\)
e: \(=\dfrac{2}{5}\cdot\dfrac{8-3}{12}-\dfrac{1}{2}=\dfrac{1}{6}-\dfrac{1}{2}=\dfrac{1}{6}-\dfrac{3}{6}=-\dfrac{2}{6}=-\dfrac{1}{3}\)
f: \(=\dfrac{-3}{7}+\dfrac{1}{7}+\dfrac{15}{70}=\dfrac{-2}{7}+\dfrac{3}{14}=\dfrac{-4+3}{14}=-\dfrac{1}{14}\)
g: \(=\dfrac{13}{10}\cdot\dfrac{-5}{13}=\dfrac{-1}{2}\)
h: \(=A\cdot\left(\dfrac{6}{5}-\dfrac{6}{5}\right)=0\)
n: \(=\dfrac{-2}{5}\left(\dfrac{5}{17}-\dfrac{3}{5}+\dfrac{2}{17}-\dfrac{2}{5}\right)=\dfrac{-2}{5}\cdot\left(\dfrac{7}{17}-1\right)\)
\(=\dfrac{-2}{5}\cdot\dfrac{-10}{17}=\dfrac{20}{85}=\dfrac{4}{17}\)