What is the value of
3+\frac{1}{3+\frac{1}{3+\frac{1}{3}}}?
\frac{31}{10}
\frac{49}{15}
\frac{33}{10}
\frac{109}{33}
\dfrac{15}{4}
3+\frac{1}{3+\frac{1}{3+\frac{1}{3}}}=3+\frac{1}{3+\frac{1}{\frac{10}{3}}}=3+\frac{1}{3+\frac{3}{10}}=3+\frac{1}{\frac{33}{10}}=3+\frac{10}{33}=\frac{109}{33}.
