2022 AMC 12A Problem 1

Simplify from the bottom. The innermost fraction is $3+\dfrac13=\dfrac{10}{3}.$ The next layer is $3+\dfrac{1}{\frac{10}{3}}=3+\dfrac{3}{10}=\dfrac{33}{10}.$ Finally, $3+\dfrac{1}{\frac{33}{10}}=3+\dfrac{10}{33}=\dfrac{109}{33}.$ Thus, the correct answer is D.