a: \(\left(-\dfrac{12}{16}+\dfrac{7}{14}\right)-\left(\dfrac{1}{13}-\dfrac{3}{13}\right)\)
\(=\dfrac{-3}{4}+\dfrac{1}{2}-\dfrac{-2}{13}\)
\(=\dfrac{-1}{4}+\dfrac{2}{13}=\dfrac{-13+8}{52}=-\dfrac{5}{52}\)
b: \(\dfrac{10}{11}+\dfrac{4}{11}:4-\dfrac{1}{8}\)
\(=\dfrac{10}{11}+\dfrac{1}{11}-\dfrac{1}{8}\)
\(=1-\dfrac{1}{8}=\dfrac{7}{8}\)
c: \(2,86\cdot4+3.14\cdot4-6,01\cdot5+3^2\cdot0,75\)
\(=4\cdot\left(2,86+3,14\right)-30,05+9\cdot0,75\)
\(=4\cdot6-30,75+6,75\)
\(=24-24=0\)