$$\frac { 8 } { 25 } \times 2 \frac { 1 } { 2 } \div 2 \frac { 1 } { 11 } \times \frac { 4 } { 9 }$$
$\frac{176}{1035}\approx 0.170048309$
$$\frac{\frac{8}{25}\times \frac{4+1}{2}}{\frac{2\times 11+1}{11}}\times \frac{4}{9}$$
$$\frac{\frac{8}{25}\times \frac{5}{2}}{\frac{2\times 11+1}{11}}\times \frac{4}{9}$$
$$\frac{\frac{8\times 5}{25\times 2}}{\frac{2\times 11+1}{11}}\times \frac{4}{9}$$
$$\frac{\frac{40}{50}}{\frac{2\times 11+1}{11}}\times \frac{4}{9}$$
$$\frac{\frac{4}{5}}{\frac{2\times 11+1}{11}}\times \frac{4}{9}$$
$$\frac{\frac{4}{5}}{\frac{22+1}{11}}\times \frac{4}{9}$$
$$\frac{\frac{4}{5}}{\frac{23}{11}}\times \frac{4}{9}$$
$$\frac{4}{5}\times \frac{11}{23}\times \frac{4}{9}$$
$$\frac{4\times 11}{5\times 23}\times \frac{4}{9}$$
$$\frac{44}{115}\times \frac{4}{9}$$
$$\frac{44\times 4}{115\times 9}$$
$$\frac{176}{1035}$$
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$\frac{2 ^ {4} \cdot 11}{3 ^ {2} \cdot 5 \cdot 23} = 0.17004830917874397$
