6. $$3\frac{6}{17}-2\frac{7}{17} = (3-2) + (\frac{6}{17} - \frac{7}{17}) = 1 - \frac{1}{17} = \frac{17}{17} - \frac{1}{17} = \frac{16}{17}$$.
Ответ: $$\frac{16}{17}$$