a: \(=\left(\dfrac{3}{13}-\dfrac{10}{13}\right)+\left(\dfrac{7}{12}+\dfrac{5}{12}\right)=1-\dfrac{7}{13}=\dfrac{6}{13}\)
b: \(=\left(\dfrac{15}{24}+\dfrac{14}{24}+\dfrac{10}{24}\right)-\left(\dfrac{2}{13}+\dfrac{10}{13}\right)\)
\(=\dfrac{39}{24}-\dfrac{12}{13}=\dfrac{73}{104}\)
c: \(=\left(-\dfrac{1}{2}-\dfrac{1}{9}-\dfrac{7}{18}\right)+\left(\dfrac{3}{7}+\dfrac{4}{7}\right)=\dfrac{-9-2-7}{18}+1=0\)
d: \(=\left(-\dfrac{1}{2}-\dfrac{1}{9}-\dfrac{7}{18}\right)+\left(\dfrac{4}{7}+\dfrac{4}{7}\right)=\dfrac{8}{7}-1=\dfrac{1}{7}\)
e: \(=\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{12}+\dfrac{1}{12}-\dfrac{1}{13}=\dfrac{1}{7}-\dfrac{1}{13}=\dfrac{6}{91}\)
