$$10\frac{4}{9}\times\frac{1}{9}=$$
$\frac{94}{81}\approx 1.160493827$
$$\frac{90+4}{9}\times \frac{1}{9}$$
$$\frac{94}{9}\times \frac{1}{9}$$
$$\frac{94\times 1}{9\times 9}$$
$$\frac{94}{81}$$
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$\frac{2 \cdot 47}{3 ^ {4}} = 1\frac{13}{81} = 1.1604938271604939$