g: \(\left(-\dfrac{3}{4}+\dfrac{5}{13}\right):\dfrac{2}{7}-\left(2\dfrac{1}{4}+\dfrac{8}{13}\right):\dfrac{2}{7}\)
\(=\left(-\dfrac{3}{4}+\dfrac{5}{13}\right)\cdot\dfrac{7}{2}-\left(\dfrac{9}{4}+\dfrac{8}{13}\right)\cdot\dfrac{7}{2}\)
\(=\dfrac{7}{2}\left(-\dfrac{3}{4}+\dfrac{5}{13}-\dfrac{9}{4}-\dfrac{8}{13}\right)\)
\(=\dfrac{7}{2}\left(-\dfrac{12}{4}-\dfrac{3}{13}\right)\)
\(=\dfrac{7}{2}\cdot\left(-3-\dfrac{3}{13}\right)=\dfrac{7}{2}\cdot\dfrac{-42}{13}=\dfrac{-147}{13}\)
h: \(\left(\dfrac{1}{2}-\dfrac{13}{14}\right):\dfrac{5}{7}-\left(-\dfrac{2}{21}+\dfrac{1}{7}\right):\dfrac{5}{7}\)
\(=\left(\dfrac{1}{2}-\dfrac{13}{14}\right)\cdot\dfrac{7}{5}-\left(-\dfrac{2}{21}+\dfrac{1}{7}\right)\cdot\dfrac{7}{5}\)
\(=\dfrac{7}{5}\left(\dfrac{1}{2}-\dfrac{13}{14}+\dfrac{2}{21}-\dfrac{1}{7}\right)\)
\(=\dfrac{7}{5}\cdot\dfrac{21-39+4-6}{42}\)
\(=\dfrac{7}{5}\cdot\dfrac{-20}{42}=\dfrac{7}{42}\cdot\dfrac{-20}{5}=\dfrac{1}{6}\cdot\left(-4\right)=-\dfrac{2}{3}\)
i: \(\left(-12\cdot\dfrac{2}{7}+\dfrac{8}{9}:3\dfrac{1}{2}-\dfrac{2}{7}\cdot\dfrac{5}{18}\right)\cdot3\dfrac{1}{2}\)
\(=\left(-12\cdot\dfrac{2}{7}+\dfrac{8}{9}:\dfrac{7}{2}-\dfrac{2}{7}\cdot\dfrac{5}{18}\right)\cdot\dfrac{7}{2}\)
\(=\dfrac{2}{7}\left(-12+\dfrac{8}{9}-\dfrac{5}{18}\right)\cdot\dfrac{7}{2}\)
\(=-12+\dfrac{8}{9}-\dfrac{5}{18}=-12+\dfrac{16-5}{18}\)
\(=-12+\dfrac{11}{18}=\dfrac{-216+11}{18}=\dfrac{-205}{18}\)
j: \(\left(13\dfrac{3}{5}+4\dfrac{3}{4}\right)-8\dfrac{3}{5}\)
\(=13+\dfrac{3}{5}+4+\dfrac{3}{4}-8-\dfrac{3}{5}\)
\(=\left(13+4-8\right)+\dfrac{3}{4}=9+\dfrac{3}{4}=9,75\)
k: \(\left(8\dfrac{5}{11}+3\dfrac{5}{8}\right)-3\dfrac{5}{11}\)
\(=8+\dfrac{5}{11}+3+\dfrac{5}{8}-3-\dfrac{5}{11}\)
\(=8+\dfrac{5}{8}=\dfrac{69}{8}\)
l: \(\dfrac{4}{9}:\left(-\dfrac{1}{7}\right)+6\dfrac{5}{9}:\dfrac{-1}{7}\)
\(=\dfrac{4}{9}\cdot\left(-7\right)+\dfrac{59}{9}\cdot\left(-7\right)\)
\(=\left(-7\right)\left(\dfrac{4}{9}+\dfrac{59}{9}\right)=-7\cdot7=-49\)
