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

\[\frac{17}{8}-\frac{11}{20}=\frac{85}{40}-\frac{22}{40}=\frac{63}{40}.\]

\[\frac{63}{40}:\frac{5}{46}=\frac{63}{40}\cdot\frac{46}{5}=\frac{1449}{100}.\]

Ответ: \(\frac{1449}{100}=14{,}49\).