$$2+\frac{2}{5}\div2\frac{3}{10}$$
$\frac{50}{23}\approx 2.173913043$
$$2+\frac{2\times 10}{5\left(2\times 10+3\right)}$$
$$2+\frac{2\times 2}{3+2\times 10}$$
$$2+\frac{4}{3+2\times 10}$$
$$2+\frac{4}{3+20}$$
$$2+\frac{4}{23}$$
$$\frac{46}{23}+\frac{4}{23}$$
$$\frac{46+4}{23}$$
$$\frac{50}{23}$$
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$\frac{2 \cdot 5 ^ {2}}{23} = 2\frac{4}{23} = 2.1739130434782608$
