$$3\frac{2}{3}\times\frac{4}{5}\times3\frac{5}{6}$$
$\frac{506}{45}\approx 11.244444444$
$$\frac{9+2}{3}\times \frac{4}{5}\times \frac{3\times 6+5}{6}$$
$$\frac{11}{3}\times \frac{4}{5}\times \frac{3\times 6+5}{6}$$
$$\frac{11\times 4}{3\times 5}\times \frac{3\times 6+5}{6}$$
$$\frac{44}{15}\times \frac{3\times 6+5}{6}$$
$$\frac{44}{15}\times \frac{18+5}{6}$$
$$\frac{44}{15}\times \frac{23}{6}$$
$$\frac{44\times 23}{15\times 6}$$
$$\frac{1012}{90}$$
$$\frac{506}{45}$$
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$\frac{2 \cdot 11 \cdot 23}{3 ^ {2} \cdot 5} = 11\frac{11}{45} = 11.244444444444444$
