$$2+ \frac{ 1 }{ 1+ \frac{ 1 }{ 1+ \frac{ 1 }{ 2 } } }$$
$\frac{13}{5}=2.6$
$$2+\frac{1}{1+\frac{1}{\frac{2}{2}+\frac{1}{2}}}$$
$$2+\frac{1}{1+\frac{1}{\frac{2+1}{2}}}$$
$$2+\frac{1}{1+\frac{1}{\frac{3}{2}}}$$
$$2+\frac{1}{1+1\times \frac{2}{3}}$$
$$2+\frac{1}{1+\frac{2}{3}}$$
$$2+\frac{1}{\frac{3}{3}+\frac{2}{3}}$$
$$2+\frac{1}{\frac{3+2}{3}}$$
$$2+\frac{1}{\frac{5}{3}}$$
$$2+1\times \frac{3}{5}$$
$$2+\frac{3}{5}$$
$$\frac{10}{5}+\frac{3}{5}$$
$$\frac{10+3}{5}$$
$$\frac{13}{5}$$
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$\frac{13}{5} = 2\frac{3}{5} = 2.6$
