Вопрос:

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

Ответ:

  1. \(\frac{37}{4}\cdot8-\frac{9}{2}\cdot\frac{9}{2}-\frac{54}{5}\cdot\frac{55}{12}=74-\frac{81}{4}-\frac{99}{2}=\frac{17}{4}\).
  2. \(\left(\frac{23}{22}\cdot\frac{11}{3}-\left(\frac{17}{6}+\frac{23}{6}\cdot\frac{7}{23}\right)\right)\cdot\frac35=\left(\frac{23}{6}-4\right)\cdot\frac35=-\frac{1}{10}\).
  3. \(\left(\frac{13}{4}+\frac{13}{6}\right):\frac83-\frac23\cdot\frac49=\frac{65}{12}\cdot\frac38-\frac{8}{27}=\frac{1499}{864}\).
  4. \((101{,}4-90)\cdot\frac14+0{,}037=2{,}887\).
  5. \((-0{,}5-(-2))\cdot(-2{,}4)=1{,}5\cdot(-2{,}4)=-3{,}6\).
  6. \((-1{,}2-2{,}4):0{,}0003=-3{,}6:0{,}0003=-12000\).
  7. \(\frac{47}{48}:\left(-\frac{31}{16}\right)=-\frac{47}{93}\).
  8. \(\left(-\frac5{12}\right):\left(-\frac1{10}\right)=\frac{25}{6}\).
  9. \(-\frac83+\frac73\cdot\left(-\frac{108}{7}+18\right)=-\frac83+6=\frac{10}{3}\).

Ответ: 1) \(\frac{17}{4}\); 2) \(-\frac{1}{10}\); 3) \(\frac{1499}{864}\); 4) \(2{,}887\); 5) \(-3{,}6\); 6) \(-12000\); 7) \(-\frac{47}{93}\); 8) \(\frac{25}{6}\); 9) \(\frac{10}{3}\).