Solution
$$5+\frac{1}{6+\frac{1}{8+\frac{1}{10}}}=5+\frac{1}{6+\frac{1}{\frac{81}{10}}}$$
$$=5+\frac{1}{6+\frac{10}{81}}$$
$$=5+\frac{1}{\frac{496}{81}}$$
$$=5+\frac{81}{496}$$
$$=\frac{2561}{496}$$
Hence, the correct answer is Option D
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