$$\frac { 1 } { 2 } 2 \frac { 3 } { 4 } 4 \frac { 2 } { 9 }$$
$\frac{209}{36}\approx 5.805555556$
$$\frac{1}{2}\times \frac{8+3}{4}\times \frac{4\times 9+2}{9}$$
$$\frac{1}{2}\times \frac{11}{4}\times \frac{4\times 9+2}{9}$$
$$\frac{1\times 11}{2\times 4}\times \frac{4\times 9+2}{9}$$
$$\frac{11}{8}\times \frac{4\times 9+2}{9}$$
$$\frac{11}{8}\times \frac{36+2}{9}$$
$$\frac{11}{8}\times \frac{38}{9}$$
$$\frac{11\times 38}{8\times 9}$$
$$\frac{418}{72}$$
$$\frac{209}{36}$$
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$\frac{11 \cdot 19}{2 ^ {2} \cdot 3 ^ {2}} = 5\frac{29}{36} = 5.805555555555555$
