6. Найдите значение числового выражения: а) \((8\frac{7}{12}-2\frac{17}{36})\cdot2{,}7-4\frac{1}{3}:0{,}65\); б) \((1\frac{11}{24}+\frac{13}{36})\cdot1{,}44-\frac{8}{15}\cdot0{,}5625\); в) \((6\frac{8}{15}-4\frac{21}{45})\cdot4{,}5-2\frac{1}{6}:0{,}52\); г) \((\frac{9}{22}+1\frac{12}{33})\cdot1{,}32-\frac{8}{13}\cdot0{,}1625\).

а) \((\frac{307}{36}-\frac{89}{36})\cdot\frac{27}{10}-\frac{13}{3}:\frac{13}{20}=\frac{327}{20}-\frac{20}{3}=\frac{581}{60}=9\frac{41}{60}\).

б) \((\frac{83}{72}+\frac{26}{72})\cdot\frac{36}{25}-\frac{8}{15}\cdot\frac{9}{16}=\frac{109}{50}-\frac{3}{10}=\frac{47}{25}=1\frac{22}{25}\).

в) \((\frac{98}{15}-\frac{67}{15})\cdot\frac{9}{2}-\frac{13}{6}:\frac{13}{25}=\frac{93}{10}-\frac{25}{6}=\frac{77}{15}=5\frac{2}{15}\).

г) \((\frac{9}{22}+\frac{15}{11})\cdot\frac{33}{25}-\frac{8}{13}\cdot\frac{13}{80}=\frac{117}{50}-\frac{1}{10}=\frac{56}{25}=2\frac{6}{25}\).

Ответ: а) \(9\frac{41}{60}\); б) \(1\frac{22}{25}\); в) \(5\frac{2}{15}\); г) \(2\frac{6}{25}\).