Ответ:

\[\frac65:\left(\frac9{10}-\frac15\right)=\frac65:\left(\frac9{10}-\frac2{10}\right)=\frac65:\frac7{10}=\frac65\cdot\frac{10}{7}=\frac{12}{7}.\]

Ответ: \(\frac{12}{7}\).