\(-3+\dfrac{1}{1+\dfrac{1}{3+\dfrac{1}{1+\dfrac{1}{3}}}}\)
\(=-3+\dfrac{1}{1+\dfrac{1}{3+\dfrac{1}{\dfrac{4}{3}}}}\)
\(=-3+\dfrac{1}{1+\dfrac{1}{3+\dfrac{3}{4}}}\)
\(=-3+\dfrac{1}{1+\dfrac{1}{\dfrac{15}{4}}}\)
\(=-3+\dfrac{1}{1+\dfrac{4}{15}}\)
\(=-3+\dfrac{1}{\dfrac{19}{15}}\)
\(=-3+\dfrac{15}{19}\)
\(=-3\dfrac{15}{19}\)