B) \(\dfrac{-11}{6}+\dfrac{2}{5}+\dfrac{-1}{6}+\dfrac{13}{5}=\left(\dfrac{-11}{6}-\dfrac{1}{6}\right)+\left(\dfrac{2}{5}+\dfrac{13}{5}\right)=\dfrac{-12}{6}+\dfrac{15}{5}=-2+3=-1\)
C) \(\dfrac{1}{7}+\dfrac{-1}{5}+\dfrac{-1}{7}+\dfrac{2}{-5}+\dfrac{-7}{5}=\left(\dfrac{1}{7}-\dfrac{1}{7}\right)+\left(\dfrac{-1}{5}-\dfrac{2}{5}-\dfrac{7}{5}\right)=0-\dfrac{10}{5}=0-2=-2\)
D) \(\dfrac{-5}{8}+\dfrac{12}{7}+\dfrac{13}{8}+\dfrac{2}{7}=\left(\dfrac{13}{8}-\dfrac{5}{8}\right)+\left(\dfrac{12}{7}+\dfrac{2}{7}\right)=\dfrac{8}{8}+\dfrac{14}{7}=12=3\)
E)\(\dfrac{1}{7}+\dfrac{-1}{5}+\dfrac{1}{-7}+\dfrac{2}{-5}+\dfrac{-7}{5}=\left(\dfrac{1}{7}-\dfrac{1}{7}\right)+\left(\dfrac{-1}{5}-\dfrac{2}{5}-\dfrac{7}{5}\right)=0-\dfrac{10}{5}=-2=-2\)
b: =(-11/6-1/6)+(2/5+13/5)
=-2+3
=1
c: =(3/13+10/13)+(-3/7-4/7)
=1-1=0
d: =(-5/8+13/8)+(12/7+2/7)
=-1+2
=1
F) \(\dfrac{-4}{11}.\dfrac{12}{58}.\dfrac{11}{16}.\dfrac{29}{3}=\left(\dfrac{-4}{11}.\dfrac{11}{16}\right)\left(\dfrac{12}{58}.\dfrac{29}{3}\right)=\dfrac{-44}{176}.\dfrac{348}{174}=\dfrac{-1}{4}.2=\dfrac{-1}{2}\)
G)\(\dfrac{-15}{19}.\dfrac{3}{11}.\dfrac{19}{5}\left(-33\right)=\left(\dfrac{-15}{19}.\dfrac{19}{5}\right).\dfrac{3}{11}\left(-33\right)=\dfrac{-15}{5}.\left(-9\right)=-\left(3.9\right)=-27\)
H)\(\dfrac{4}{9}\left(\dfrac{-5}{13}-\dfrac{11}{13}+\dfrac{3}{13}\right)=\dfrac{4}{9}.\left(-1\right)=\dfrac{-4}{9}\)
I) \(\dfrac{2}{23}+\left(\dfrac{6}{161}-\dfrac{13}{161}\right)=\dfrac{2}{23}-\dfrac{1}{23}=\dfrac{1}{23}\)
K) \(\left(\dfrac{5}{7}.\dfrac{25}{7}\right).\left(\dfrac{8}{17}-\dfrac{5}{17}\right)=\left(5.25\right).\left(8-5\right)=125.3=375\)