$$\frac{ 4 }{ 7 } \times \frac{ 7 }{ 5 } \div \frac{ 9 }{ 11 }$$
$\frac{44}{45}\approx 0.977777778$
$$\frac{\frac{4\times 7}{7\times 5}}{\frac{9}{11}}$$
$$\frac{\frac{4}{5}}{\frac{9}{11}}$$
$$\frac{4}{5}\times \frac{11}{9}$$
$$\frac{4\times 11}{5\times 9}$$
$$\frac{44}{45}$$
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$\frac{2 ^ {2} \cdot 11}{3 ^ {2} \cdot 5} = 0.9777777777777777$
