Find
$1 + \frac{1}{1 + \frac{1}{2 + \frac{1}{3}}}$

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Solution

$1 \frac{1}{1 + \frac{1}{2 + \frac{1}{3}}}$
$= 1 + \frac{1}{1 + \frac{3}{7}}$
$= 1 + \frac{7}{10}$
$= \frac{17}{10}$

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