$$10\frac{4}{9}\times\frac{1}{2}=$$
$\frac{47}{9}\approx 5.222222222$
$$\frac{90+4}{9}\times \frac{1}{2}$$
$$\frac{94}{9}\times \frac{1}{2}$$
$$\frac{94\times 1}{9\times 2}$$
$$\frac{94}{18}$$
$$\frac{47}{9}$$
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$\frac{47}{3 ^ {2}} = 5\frac{2}{9} = 5.222222222222222$