$$2+\frac{1}{2+\frac{1}{2}}$$
$\frac{12}{5}=2.4$
$$2+\frac{1}{\frac{4}{2}+\frac{1}{2}}$$
$$2+\frac{1}{\frac{4+1}{2}}$$
$$2+\frac{1}{\frac{5}{2}}$$
$$2+1\times \frac{2}{5}$$
$$2+\frac{2}{5}$$
$$\frac{10}{5}+\frac{2}{5}$$
$$\frac{10+2}{5}$$
$$\frac{12}{5}$$
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$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$
