Math Gold Medalist

Lor

2022 AMC 12A 

Problem 1

What is the value of\[3+\frac{1}{3+\frac{1}{3+\frac13}}?\]$\textbf{(A)}\ \frac{31}{10}\qquad\textbf{(B)}\ \frac{49}{15}\qquad\textbf{(C)}\ \frac{33}{10}\qquad\textbf{(D)}\ \frac{109}{33}\qquad\textbf{(E)}\ \frac{15}{4}$

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   Solution