a: \(=\dfrac{38}{45}-\dfrac{8}{45}+\dfrac{17}{51}+\dfrac{3}{11}=\dfrac{2}{3}+\dfrac{2}{3}+\dfrac{3}{11}\)
\(=\dfrac{4}{3}+\dfrac{3}{11}=\dfrac{44+9}{33}=\dfrac{53}{33}\)
b: \(=\left(\dfrac{1}{5}-\dfrac{3}{5}+\dfrac{2}{5}\right)+\left(\dfrac{16}{42}+\dfrac{2}{21}-\dfrac{10}{21}\right)+\dfrac{3}{20}\)
\(=\dfrac{7}{21}+\dfrac{2}{21}-\dfrac{10}{21}+\dfrac{3}{20}=\dfrac{-1}{21}+\dfrac{3}{20}=\dfrac{-20+63}{420}=\dfrac{43}{420}\)
c: \(=\left(-\dfrac{4}{15}+\dfrac{6}{15}-\dfrac{2}{15}\right)+\dfrac{11}{2}=\dfrac{11}{2}\)
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