**Решение:**
1) $(-2\frac{5}{9} + 1\frac{20}{21}) : 1\frac{8}{49} - 1\frac{7}{9} : (-6) = (-\frac{23}{9} + \frac{41}{21}) : \frac{57}{49} - \frac{16}{9} : (-6) = (\frac{-161 + 123}{63}) : \frac{57}{49} - \frac{16}{9} : (-6) = \frac{-38}{63} \cdot \frac{49}{57} - \frac{16}{9} \cdot (-\frac{1}{6}) = \frac{-38 \cdot 7}{9 \cdot 57} + \frac{8}{9} \cdot \frac{1}{3} = \frac{-266}{513} + \frac{8}{27} = \frac{-266 \cdot 3 + 8 \cdot 57}{1539} = \frac{-798 + 456}{1539} = \frac{-342}{1539} = \frac{-38}{171}$;
2) $(5\frac{5}{9} - 6,8) : (2\frac{13}{30} - 2\frac{1}{12}) \cdot 3,6 = (\frac{50}{9} - \frac{34}{5}) : (\frac{73}{30} - \frac{25}{12}) \cdot \frac{18}{5} = (\frac{250 - 306}{45}) : (\frac{146 - 125}{60}) \cdot \frac{18}{5} = (\frac{-56}{45}) : (\frac{21}{60}) \cdot \frac{18}{5} = (\frac{-56}{45}) \cdot (\frac{60}{21}) \cdot \frac{18}{5} = (\frac{-8}{3}) \cdot (\frac{4}{3}) \cdot \frac{18}{5} = (\frac{-32}{9}) \cdot \frac{18}{5} = \frac{-32 \cdot 2}{5} = -\frac{64}{5} = -12,8$;
**Ответ:**
1) $-\frac{38}{171}$;
2) $-12,8$.
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