\[\frac{65}{16} + \frac{5}{12} = \frac{65 \cdot 3}{16 \cdot 3} + \frac{5 \cdot 4}{12 \cdot 4} = \frac{195}{48} + \frac{20}{48} = \frac{215}{48}\]
\[96 : \frac{215}{48} = 96 \cdot \frac{48}{215} = \frac{96 \cdot 48}{215} = \frac{4608}{215}\]
\[\frac{4608}{215} + 10 = \frac{4608}{215} + \frac{10 \cdot 215}{215} = \frac{4608}{215} + \frac{2150}{215} = \frac{6758}{215}\]
\[\frac{6758}{215} - 120 = \frac{6758}{215} - \frac{120 \cdot 215}{215} = \frac{6758}{215} - \frac{25800}{215} = -\frac{19042}{215}\]
Ответ: \(-\frac{19042}{215}\)