Найдите значение выражения: 1) \(9\frac{1}{4}\cdot 8-3\frac{2}{3}\cdot4\frac{1}{2}-10\frac{4}{5}\cdot4\frac{7}{12}\); 2) \(1\frac{1}{22}\cdot3\frac{2}{3}-\left(2\frac{5}{6}+3\frac{5}{6}\cdot\frac{7}{23}\right)\cdot\frac{3}{5}\); 3) \(\left(3\frac{1}{4}+2\frac{1}{6}\right):2\frac{3}{5}-\frac{2}{3}:\frac{4}{9}\); 4) \(\left(5,07:\frac{1}{20}-23,4:\frac{13}{50}\right)\cdot\frac{1}{4}+0,074\cdot\frac{1}{2}\); 5) \((-31,7:63,4-23,4:(-11,7))\cdot(-2,4)\); 6) \((-1,2+4,32:(-1,8)):(-0,001)\cdot(-0,3)\); 7) \(\left(\frac{7}{16}-\left(-\frac{5}{24}\right)\right):\left(-1\frac{15}{16}\right)\); 8) \(\left(\frac{10}{21}-\frac{25}{28}\right):\left(-\frac{11}{14}+\frac{24}{35}\right)\); 9) \(-2\frac{2}{3}+2\frac{1}{3}\cdot\left(-15\frac{3}{7}-(-4,8):\frac{4}{15}\right)\).

1. \(9\frac14=\frac{37}{4}\), \(3\frac23=\frac{11}{3}\), \(4\frac12=\frac92\), \(10\frac45=\frac{54}{5}\), \(4\frac7{12}=\frac{55}{12}\).
   \(\frac{37}{4}\cdot8-\frac{11}{3}\cdot\frac92-\frac{54}{5}\cdot\frac{55}{12}=74-\frac{33}{2}-\frac{99}{2}=74-66=8\).
2. \(1\frac1{22}=\frac{23}{22}\), \(3\frac23=\frac{11}{3}\).
   \(\frac{23}{22}\cdot\frac{11}{3}=\frac{23}{6}\).
   \(2\frac56+3\frac56\cdot\frac7{23}=\frac{17}{6}+\frac{23}{6}\cdot\frac7{23}=\frac{17}{6}+\frac76=4\).
   \(\frac{23}{6}-4\cdot\frac35=\frac{23}{6}-\frac{12}{5}=\frac{43}{30}\).
3. \(3\frac14+2\frac16=\frac{13}{4}+\frac{13}{6}=\frac{65}{12}\).
   \(\frac{65}{12}:\frac{13}{5}=\frac{65}{12}\cdot\frac5{13}=\frac{25}{12}\).
   \(\frac23:\frac49=\frac23\cdot\frac94=\frac32\).
   \(\frac{25}{12}-\frac32=\frac7{12}\).
4. \(5,07:\frac1{20}=101,4\), \(23,4:\frac{13}{50}=90\).
   \((101,4-90)\cdot\frac14+0,074\cdot\frac12=11,4\cdot\frac14+0,037=2,85+0,037=2,887\).
5. \(-31,7:63,4=-0,5\), \(23,4:(-11,7)=-2\).
   \((-0,5-(-2))\cdot(-2,4)=1,5\cdot(-2,4)=-3,6\).
6. \(4,32:(-1,8)=-2,4\).
   \((-1,2-2,4):(-0,001)\cdot(-0,3)=(-3,6):(-0,001)\cdot(-0,3)=3600\cdot(-0,3)=-1080\).
7. \(\frac7{16}+\frac5{24}=\frac{21+10}{48}=\frac{31}{48}\), а \(-1\frac{15}{16}=-\frac{31}{16}\).
   \(\frac{31}{48}:(-\frac{31}{16})=\frac{31}{48}\cdot(-\frac{16}{31})=-\frac13\).
8. \(\frac{10}{21}-\frac{25}{28}=\frac{40-75}{84}=-\frac{35}{84}=-\frac5{12}\).
   \(-\frac{11}{14}+\frac{24}{35}=\frac{-55+48}{70}=-\frac7{70}=-\frac1{10}\).
   \((-\frac5{12}):(-\frac1{10})=\frac5{12}\cdot10=\frac{25}{6}\).
9. \((-4,8):\frac4{15}=-4,8\cdot\frac{15}{4}=-18\).
   \(-15\frac37-(-18)=-\frac{108}{7}+18=\frac{18}{7}\).
   \(-2\frac23+2\frac13\cdot\frac{18}{7}=-\frac83+\frac73\cdot\frac{18}{7}=-\frac83+6=\frac{10}{3}\).

Ответ: 1) \(8\); 2) \(\frac{43}{30}\); 3) \(\frac{7}{12}\); 4) \(2,887\); 5) \(-3,6\); 6) \(-1080\); 7) \(-\frac13\); 8) \(\frac{25}{6}\); 9) \(\frac{10}{3}\).