$$( \frac{ 17 }{ 8 } - \frac{ 11 }{ 20 } )/ \frac{ 5 }{ 46 }$$
$\frac{1449}{100}=14.49$
$$\frac{\frac{85}{40}-\frac{22}{40}}{\frac{5}{46}}$$
$$\frac{\frac{85-22}{40}}{\frac{5}{46}}$$
$$\frac{\frac{63}{40}}{\frac{5}{46}}$$
$$\frac{63}{40}\times \frac{46}{5}$$
$$\frac{63\times 46}{40\times 5}$$
$$\frac{2898}{200}$$
$$\frac{1449}{100}$$
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$\frac{3 ^ {2} \cdot 7 \cdot 23}{2 ^ {2} \cdot 5 ^ {2}} = 14\frac{49}{100} = 14.49$