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$$ 3 + \frac{3}{3 + \frac{1}{3+\frac{1}{3}}}$$
= $$ 3 + \frac{3}{3 +\frac{3}{10}}$$
= $$ 3 + \frac{3}{\frac{33}{10}}$$
= $$ 3 + \frac{30}{33}$$
= $$\frac{129}{33}$$
= $$\frac{43}{11}$$
so the answer is option B.
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