24. \(\frac{1}{6}:0{,}96-1\)

Преобразуем десятичную дробь: \(0{,}96=\frac{24}{25}\).

\(\frac{1}{6}:\frac{24}{25}=\frac{1}{6}\cdot\frac{25}{24}=\frac{25}{144}\).

\(\frac{25}{144}-1=\frac{25}{144}-\frac{144}{144}=-\frac{119}{144}\).

Ответ: \(-\frac{119}{144}\).