$$\frac{ 4 }{ 3 } \times \frac{ 8 }{ 7 } \times \frac{ 8 }{ 7 } \times \frac{ 2 }{ 3 } \times \frac{ 5 }{ 9 }$$
$\frac{2560}{3969}\approx 0.64499874$
$$\frac{4\times 8}{3\times 7}\times \frac{8}{7}\times \frac{2}{3}\times \frac{5}{9}$$
$$\frac{32}{21}\times \frac{8}{7}\times \frac{2}{3}\times \frac{5}{9}$$
$$\frac{32\times 8}{21\times 7}\times \frac{2}{3}\times \frac{5}{9}$$
$$\frac{256}{147}\times \frac{2}{3}\times \frac{5}{9}$$
$$\frac{256\times 2}{147\times 3}\times \frac{5}{9}$$
$$\frac{512}{441}\times \frac{5}{9}$$
$$\frac{512\times 5}{441\times 9}$$
$$\frac{2560}{3969}$$
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$\frac{2 ^ {9} \cdot 5}{3 ^ {4} \cdot 7 ^ {2}} = 0.6449987402368355$