$$4\frac{7}{45}+3\frac{17}{18}$$
$\frac{81}{10}=8.1$
$$\frac{180+7}{45}+\frac{3\times 18+17}{18}$$
$$\frac{187}{45}+\frac{3\times 18+17}{18}$$
$$\frac{187}{45}+\frac{54+17}{18}$$
$$\frac{187}{45}+\frac{71}{18}$$
$$\frac{374}{90}+\frac{355}{90}$$
$$\frac{374+355}{90}$$
$$\frac{729}{90}$$
$$\frac{81}{10}$$
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$\frac{3 ^ {4}}{2 \cdot 5} = 8\frac{1}{10} = 8.1$