Problem:
If $x = \frac{11245}{12258}$, then find $\frac{1}{x+\frac{1}{x+\frac{1}{x+\ddots}}}$.
Answer:
$\frac{\sqrt{727484281}-11245}{24516}$
{'source': 'AMPS', 'file': 'amps/mathematica/number_theory/continued_fraction/20675.txt'}