\(\dfrac{23}{11}+\left(\dfrac{1}{5}+\dfrac{10}{11}\right)\)
\(=\dfrac{23}{11}+\dfrac{1}{5}+\dfrac{10}{11}\)
\(=\left(\dfrac{23}{11}+\dfrac{10}{11}\right)+\dfrac{1}{5}\)
\(=3+\dfrac{1}{5}=\dfrac{3}{1}+\dfrac{1}{5}\)
\(=\dfrac{15}{5}+\dfrac{1}{5}\) \(=\dfrac{15+1}{5}=\dfrac{16}{5}\)