Ответ:
- \(2\frac{1}{3}\cdot9-1\frac{1}{3}\cdot3\frac{1}{4}-2\frac{2}{7}\cdot3\frac{5}{24}=21-\frac{13}{3}\cdot\frac{13}{4}-\frac{16}{7}\cdot\frac{77}{24}=21-\frac{169}{12}-\frac{22}{3}=-\frac{37}{12}\).
- \(\frac{55}{48}\cdot\frac{12}{5}-\left(\frac{55}{6}\cdot\frac{4}{15}+\frac{23}{9}\right)\cdot\frac25=\frac{11}{4}-\left(\frac{22}{9}+\frac{23}{9}\right)\cdot\frac25=\frac{11}{4}-\frac{10}{3}=-\frac{7}{12}\).
- \(\left(\frac94+\frac{29}{6}\right):\frac{17}{5}-\frac34\cdot\frac35=\frac{85}{12}\cdot\frac5{17}-\frac9{20}=\frac{25}{12}-\frac9{20}=\frac{79}{60}\).
- \((3.04\cdot30-16.03\cdot\frac{20}{7})\cdot\frac15+0.072\cdot\frac13=\frac{304}{5}-\frac{3206}{7}\cdot\frac15+0.024=-\frac{128}{175}+\frac3{125}=-\frac{47}{1750}\).
- \((-28.6:57.2-2.68:(-1.34))\cdot(-3.2)=(-0.5+2)\cdot(-3.2)=-4.8\).
- \((-1.7+3.64:(-1.4)):(-0.001)\cdot(-0.4)=(-4.3):(-0.001)\cdot(-0.4)=-1720\).
- \(\left(\frac9{14}+\frac5{21}\right):\left(-\frac{37}{14}\right)=\frac{37}{42}\cdot\left(-\frac{14}{37}\right)=-\frac13\).
- \(\left(\frac7{16}-\frac{31}{40}\right):\left(-\frac{17}{24}+\frac{27}{40}\right)=-\frac{41}{80}:\frac{13}{120}=-\frac{123}{26}\).
- \(-\frac{15}{4}-\left(-\frac{74}{9}+\frac{63}{14}\right)\cdot\frac94=-\frac{15}{4}-\left(-\frac{23}{18}\right)\cdot\frac94=-\frac{15}{4}+\frac{23}{8}=-\frac78\).
Ответ: 1) \(-\frac{37}{12}\); 2) \(-\frac{7}{12}\); 3) \(\frac{79}{60}\); 4) \(-\frac{47}{1750}\); 5) \(-4,8\); 6) \(-1720\); 7) \(-\frac13\); 8) \(-\frac{123}{26}\); 9) \(-\frac78\).
