1: \(=\dfrac{-39}{44}:\dfrac{13}{11}=\dfrac{-39}{44}\cdot\dfrac{11}{13}=\dfrac{-1}{4}\cdot3=-\dfrac{3}{4}\)
2: \(=\dfrac{5}{8}\cdot\left(\dfrac{-2}{5}+\dfrac{3}{5}\right)=\dfrac{5}{8}\cdot\dfrac{1}{5}=\dfrac{1}{8}\)
3: \(=\dfrac{1}{4}+\dfrac{3}{4}-\dfrac{5}{13}-\dfrac{8}{13}+\dfrac{2}{11}=\dfrac{2}{11}\)
4: \(=\dfrac{21}{31}-\dfrac{16}{7}+\dfrac{44}{53}+\dfrac{10}{31}+\dfrac{9}{53}=1+1-\dfrac{16}{7}=-\dfrac{2}{7}\)
5: \(=\dfrac{-5}{7}-\dfrac{2}{7}+\dfrac{3}{4}+\dfrac{1}{4}-\dfrac{1}{5}=\dfrac{-1}{5}\)
6: \(=\dfrac{-3}{31}-\dfrac{28}{31}-\dfrac{6}{17}-\dfrac{11}{17}+\dfrac{1}{25}-\dfrac{1}{5}=-2+\dfrac{-4}{25}=\dfrac{-54}{25}\)
7: \(=\left(4+\dfrac{1}{9}+3+\dfrac{1}{4}\right)\cdot\dfrac{9}{4}+\dfrac{11}{4}\)
\(=\dfrac{265}{36}\cdot\dfrac{9}{4}+\dfrac{11}{4}=\dfrac{309}{16}\)
