Вопрос:

1.58. Вычислите: А) \(10\cdot\left(3\frac{2}{15}-2\frac{5}{18}\right)+12\cdot\left(1\frac{5}{6}+5\frac{3}{4}\right)\); Б) \(\left(\frac{2}{3}+\frac{5}{8}-\frac{11}{12}\right)\cdot5\frac{1}{3}\); В) \(\left(2\frac{1}{2}-1\frac{3}{8}\right)\cdot\left(3\frac{1}{2}-\frac{5}{6}\right)\cdot1\frac{1}{3}\); Г) \(\left(8\frac{1}{2}-7\frac{3}{8}\right)\cdot5\frac{2}{3}-1\frac{4}{5}\cdot\left(3\frac{1}{2}-2\frac{7}{9}\right)\); Д) \(\left(5\frac{7}{12}-3\frac{17}{36}\right)\cdot2\frac{1}{2}+4\frac{1}{3}\cdot\frac{3}{26}+\frac{1}{2}\); Е) \(\left[\left(3\frac{2}{5}+1\frac{7}{10}\right)\cdot1\frac{3}{17}-\left(2\frac{7}{23}-1\frac{45}{46}\right)\cdot\frac{69}{80}\right]\cdot1\frac{1}{3}\); Ё) \(8\frac{2}{11}\cdot\left(4\frac{3}{4}\cdot\frac{4}{57}+7\frac{2}{3}\cdot\frac{9}{46}\right)+15\cdot\left(5\frac{7}{8}\cdot3\frac{2}{47}-3\frac{2}{3}\cdot\frac{31}{55}\right)\); Ж) \(\frac{3}{8}+5+4\frac{1}{6}\cdot2\frac{1}{10}-\frac{9}{20}\cdot6\); З) \(\left(\frac{7}{15}+\frac{7}{30}+\frac{4}{5}\right):\left(2-\frac{1}{3}-\frac{1}{2}\right)\); И) \(\left(\frac{1}{6}+\frac{1}{10}+\frac{1}{15}\right):\left(\frac{3}{5}-\frac{1}{3}-\frac{1}{4}\right)\); Й) \(\left(3\frac{1}{6}-2\frac{7}{15}\right):1\frac{2}{5}\); К) \(\left(1\frac{2}{3}+2\frac{4}{9}\right):\left(4\frac{26}{27}-2\frac{2}{9}\right)\); Л) \(\left(6\frac{1}{24}-\frac{2}{3}\right):\left(3\frac{1}{2}+1\frac{7}{8}\right)\); М) \(2\frac{1}{6}-1\frac{2}{9}:3\frac{2}{3}\); Н) \(4\frac{2}{5}:\left(\frac{7}{10}+2\frac{3}{5}\right)\); О) \(\frac{5}{6}+2\frac{3}{4}\cdot4\frac{7}{9}\cdot2\frac{2}{3}-1\frac{2}{3}\); П) \(\frac{9}{10}\cdot1\frac{1}{14}:2\frac{4}{7}\cdot24-2\frac{4}{15}:\left(1\frac{1}{5}-\frac{2}{3}\right)\); Р) \(\frac{3}{4}:\frac{5}{6}+2\frac{1}{2}\cdot\frac{2}{5}-1:1\frac{1}{6}\); С) \(2\frac{3}{4}:\left(1\frac{1}{2}-\frac{2}{5}\right)+\left(\frac{3}{4}+\frac{5}{6}\right):3\frac{1}{6}\); Т) \(\left(\frac{2}{15}+\frac{7}{12}\right)\cdot\frac{30}{43}-2:2\frac{1}{2}\cdot\frac{5}{32}\); У) \(\left(3\frac{1}{2}:4\frac{2}{3}+4\frac{2}{3}:3\frac{1}{2}\right)\cdot4\frac{4}{5}\); Ф) \(\left(7\frac{1}{3}-6\frac{7}{8}\right):\frac{3}{4}-\left(5\frac{1}{4}-4\frac{21}{40}\right):1\frac{9}{20}\); Х) \(6\cdot\left(6\frac{1}{6}+5\frac{2}{3}\cdot3\frac{2}{17}\right)-\left(1\frac{1}{7}\cdot5\frac{1}{4}-5\frac{11}{12}\right)\cdot18\frac{6}{7}\); Ц) \(\left[3\frac{1}{4}\cdot\left(14\frac{4}{5}+\frac{4}{15}\right)-47\right]:5\frac{9}{10}\); Ч) \(57\cdot\left(3\frac{1}{3}\cdot4\frac{2}{7}-11\frac{20}{21}\right)-\left(2\frac{3}{11}\cdot4\frac{2}{5}-5\frac{11}{12}\right)\cdot3\frac{1}{7}\); Ш) \(2\frac{3}{4}:\left(1\frac{1}{2}-\frac{2}{5}\right)+\left(\frac{3}{4}+\frac{5}{6}\right):3\frac{1}{6}\); Щ) \(17\cdot\left(5\frac{5}{51}+\frac{7}{34}+9\frac{16}{17}\right)-7\cdot\left(57\frac{5}{21}-9\frac{11}{84}-11\frac{1}{12}\right)\); Ъ) \(16\cdot\left(5\frac{8}{21}-3\frac{79}{84}\right)+15\cdot\left(\frac{1}{2}+\frac{1}{3}-\frac{4}{5}\right)\); Ы) \(3\frac{11}{18}\cdot\left\(1\frac{2}{13}\cdot2\frac{1}{10}-\frac{2}{13}\cdot13\frac{1}{2}\right\)+5\(\cdot\)\(\left\)\(4\frac{2}{3}\cdot3\frac{3}{4}-\frac{6}{7}\cdot7\frac{14}{15}\right\).

Ответ:

Выполняем действия, приводя смешанные числа к неправильным дробям.

  1. А) \(\frac{166}{15}\);
  2. Б) \(\frac{17}{18}\);
  3. В) \(\frac{28}{27}\);
  4. Г) \(\frac{68}{45}\);
  5. Д) \(\frac{19}{12}\);
  6. Е) \(\frac{4}{3}\);
  7. Ё) \(\frac{353}{11}\);
  8. Ж) \(\frac{73}{20}\);
  9. З) \(\frac{29}{5}\);
  10. И) \(\frac{5}{2}\);
  11. Й) \(\frac{5}{12}\);
  12. К) \(\frac{37}{25}\);
  13. Л) \(\frac{1}{5}\);
  14. М) \(\frac{41}{18}\);
  15. Н) \(\frac{4}{3}\);
  16. О) \(\frac{79}{6}\);
  17. П) \(\frac{34}{5}\);
  18. Р) \(\frac{9}{10}\);
  19. С) \(\frac{31}{6}\);
  20. Т) \(\frac{3}{8}\);
  21. У) \(\frac{148}{15}\);
  22. Ф) \(\frac{13}{6}\);
  23. Х) \(\frac{277}{7}\);
  24. Ц) \(\frac{1}{2}\);
  25. Ч) \(\frac{76}{3}\);
  26. Ш) \(\frac{31}{6}\);
  27. Щ) \(\frac{167}{3}\);
  28. Ъ) \(\frac{289}{7}\);
  29. Ы) \(-\frac{181}{6}\).
Подать жалобу Правообладателю