$$\frac{ 5 }{ 9 } / \frac{ 9 }{ 11 }$$
$\frac{55}{81}\approx 0.679012346$
$$\frac{5}{9}\times \frac{11}{9}$$
$$\frac{5\times 11}{9\times 9}$$
$$\frac{55}{81}$$
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$\frac{5 \cdot 11}{3 ^ {4}} = 0.6790123456790124$