112. Выполните умножение: а) \(\frac{12}{5x}\cdot\frac{x^3}{12a}\); б) \(\frac{8c^2}{15m}\cdot\frac{1}{4c^2}\); в) \(\frac{11a^4}{6}\cdot\frac{12b}{a^5}\); г) \(\frac{4n^2}{3m^2}\cdot\frac{9m}{2}\).

1. \(\frac{12}{5x}\cdot\frac{x^3}{12a}=\frac{x^3}{5ax}=\frac{x^2}{5a}\).
2. \(\frac{8c^2}{15m}\cdot\frac{1}{4c^2}=\frac{8c^2}{60mc^2}=\frac{2}{15m}\).
3. \(\frac{11a^4}{6}\cdot\frac{12b}{a^5}=\frac{132a^4b}{6a^5}=\frac{22b}{a}\).
4. \(\frac{4n^2}{3m^2}\cdot\frac{9m}{2}=\frac{36mn^2}{6m^2}=\frac{6n^2}{m}\).

Ответ: а) \(\frac{x^2}{5a}\); б) \(\frac{2}{15m}\); в) \(\frac{22b}{a}\); г) \(\frac{6n^2}{m}\).