\(\left(\frac{17}{8}-\frac{11}{20}\right):\frac{5}{46}\)

\[\left(\frac{17}{8}-\frac{11}{20}\right):\frac{5}{46}=\left(\frac{85}{40}-\frac{22}{40}\right)\cdot\frac{46}{5}\]

\[=\frac{63}{40}\cdot\frac{46}{5}=\frac{63\cdot23}{100}=\frac{1449}{100}=14\frac{49}{100}\]

Ответ: \(14\frac{49}{100}\).