Ответ:

\(1-7\frac{3}{10}=-\frac{63}{10}\).

\(\frac{1}{7}-\frac{9}{14}=\frac{2}{14}-\frac{9}{14}=-\frac{1}{2}\).

\(-\frac{63}{10}\cdot\left(-\frac{1}{2}\right)=\frac{63}{20}=3\frac{3}{20}\).

Ответ: \(3\frac{3}{20}\).