Преобразуем числа: \(-0.06=-\frac{6}{100}=-\frac{3}{50}\), а \(-1\frac{2}{25}=-\frac{27}{25}\).
\(-\frac{3}{50}:\left(-\frac{27}{25}\right)=\frac{3}{50}\cdot\frac{25}{27}=\frac{1}{18}\).
Ответ: \(\frac{1}{18}\).