Вопрос:

Выполните действия: 1) 1 5/16 · (9 − 2 1/7); 2) 1 1/35 · (7 − 5 4/9); 3) 1 5/19 · (6 − 3 2/8); 4) 1 5/17 · (7 − 2 4/11); 5) 2 2/3 − (20,95 − 2 1/3) − 3,4; 6) 6 2/5 − (2,32 − 1 1/3) + 1,02; 7) 15,25 − 4 1/6 − (5,15 − 2 2/3); 8) 21,4 − 5 1/2 − (16 2/3 − 6,6).

Ответ:

  1. \(1\dfrac{5}{16}\cdot\left(9-2\dfrac{1}{7}\right)=\dfrac{21}{16}\cdot\dfrac{48}{7}=9\).
  2. \(1\dfrac{1}{35}\cdot\left(7-5\dfrac{4}{9}\right)=\dfrac{36}{35}\cdot\dfrac{14}{9}=\dfrac{8}{5}=1\dfrac{3}{5}\).
  3. \(1\dfrac{5}{19}\cdot\left(6-3\dfrac{2}{8}\right)=\dfrac{24}{19}\cdot\dfrac{11}{4}=\dfrac{66}{19}=3\dfrac{9}{19}\).
  4. \(1\dfrac{5}{17}\cdot\left(7-2\dfrac{4}{11}\right)=\dfrac{22}{17}\cdot\dfrac{51}{11}=6\).
  5. \(2\dfrac{2}{3}-(20.95-2\dfrac{1}{3})-3.4=2\dfrac{2}{3}-18\dfrac{31}{60}-3\dfrac{2}{5}=-19\dfrac{1}{4}\).
  6. \(6\dfrac{2}{5}-(2.32-1\dfrac{1}{3})+1.02=6\dfrac{2}{5}-\dfrac{74}{75}+1\dfrac{1}{50}=6\dfrac{49}{150}\).
  7. \(15.25-4\dfrac{1}{6}-(5.15-2\dfrac{2}{3})=15\dfrac{1}{4}-4\dfrac{1}{6}-2\dfrac{29}{60}=8\dfrac{1}{3}\).
  8. \(21.4-5\dfrac{1}{2}-(16\dfrac{2}{3}-6.6)=21\dfrac{2}{5}-5\dfrac{1}{2}-10\dfrac{1}{15}=5\dfrac{23}{30}\).

Ответ: 1) 9; 2) 1\(\dfrac{3}{5}\); 3) 3\(\dfrac{9}{19}\); 4) 6; 5) −19\(\dfrac{1}{4}\); 6) 6\(\dfrac{49}{150}\); 7) 8\(\dfrac{1}{3}\); 8) 5\(\dfrac{23}{30}\).