$$\frac { 4 } { 5 } \div \frac { 9 } { 17 } 13 \frac { 3 } { 5 } \times \frac { 3 } { 136 } \frac { 5 } { 12 }$$
$\frac{17}{90}\approx 0.188888889$
$$\frac{4}{5}\times \frac{17}{9}\times \frac{13\times 5+3}{5}\times \frac{3}{136}\times \frac{5}{12}$$
$$\frac{4\times 17}{5\times 9}\times \frac{13\times 5+3}{5}\times \frac{3}{136}\times \frac{5}{12}$$
$$\frac{68}{45}\times \frac{13\times 5+3}{5}\times \frac{3}{136}\times \frac{5}{12}$$
$$\frac{68}{45}\times \frac{65+3}{5}\times \frac{3}{136}\times \frac{5}{12}$$
$$\frac{68}{45}\times \frac{68}{5}\times \frac{3}{136}\times \frac{5}{12}$$
$$\frac{68\times 68}{45\times 5}\times \frac{3}{136}\times \frac{5}{12}$$
$$\frac{4624}{225}\times \frac{3}{136}\times \frac{5}{12}$$
$$\frac{4624\times 3}{225\times 136}\times \frac{5}{12}$$
$$\frac{13872}{30600}\times \frac{5}{12}$$
$$\frac{34}{75}\times \frac{5}{12}$$
$$\frac{34\times 5}{75\times 12}$$
$$\frac{170}{900}$$
$$\frac{17}{90}$$
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$\frac{17}{2 \cdot 3 ^ {2} \cdot 5} = 0.18888888888888888$