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これはユークリッドの互除法をやっている状態。

\[
\frac{7}{4} = 1+\cfrac{1}{1+\cfrac{1}{3}}
\]

次は、なんと1がずっと続く。

\[
\frac{1+\sqrt{5}}{2} = 1+\cfrac{1}{1+\cfrac{1}{1+\cfrac{1}{1+\cdots}}}
\]

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