Вопрос:

Самостоятельная работа по теме «Умножение и деление обыкновенных дробей» Выполните действия: 2 10.5 5 12. 12 1 1 9 11 22 15 3 58 16 15 Вариант 1 85 53 3 4 10 10 12 12 17 17 20 4 21 7 11 6 25.7 10 7 : 17 17 5/11 26 : 826 11. 8:16 15 7:5

Смотреть решения всех заданий с листа

Ответ:

Краткое пояснение: Необходимо выполнить действия умножения и деления с обыкновенными дробями.
  1. 10 ⋅ \(\frac{2}{5}\) = \(\frac{10}{1} ⋅ \frac{2}{5}\) = \(\frac{10 ⋅ 2}{1 ⋅ 5}\) = \(\frac{20}{5}\) = 4

  2. 12 ⋅ \(\frac{5}{12}\) = \(\frac{12}{1} ⋅ \frac{5}{12}\) = \(\frac{12 ⋅ 5}{1 ⋅ 12}\) = \(\frac{60}{12}\) = 5

  3. \(\frac{1}{9}\) ⋅ \(\frac{1}{11}\) = \(\frac{1 ⋅ 1}{9 ⋅ 11}\) = \(\frac{1}{99}\)

  4. \(\frac{2}{15}\) ⋅ \(\frac{2}{3}\) = \(\frac{2 ⋅ 2}{15 ⋅ 3}\) = \(\frac{4}{45}\)

  5. \(\frac{5}{16}\) ⋅ \(\frac{8}{15}\) = \(\frac{5 ⋅ 8}{16 ⋅ 15}\) = \(\frac{40}{240}\) = \(\frac{1}{6}\)

  6. \(\frac{8}{5}\) ⋅ \(\frac{5}{3}\) = \(\frac{8 ⋅ 5}{5 ⋅ 3}\) = \(\frac{40}{15}\) = \(\frac{8}{3}\) = 2\(\frac{2}{3}\)

  7. \(\frac{3}{10}\) ⋅ \(\frac{4}{10}\) = \(\frac{3 ⋅ 4}{10 ⋅ 10}\) = \(\frac{12}{100}\) = \(\frac{3}{25}\)

  8. \(\frac{12}{17}\) : \(\frac{12}{17}\) = \(\frac{12}{17}\) ⋅ \(\frac{17}{12}\) = \(\frac{12 ⋅ 17}{17 ⋅ 12}\) = 1

  9. \(\frac{20}{21}\) : \(\frac{4}{7}\) = \(\frac{20}{21}\) ⋅ \(\frac{7}{4}\) = \(\frac{20 ⋅ 7}{21 ⋅ 4}\) = \(\frac{140}{84}\) = \(\frac{5}{3}\) = 1\(\frac{2}{3}\)

  10. \(\frac{11}{25}\) : \(\frac{6}{7}\) = \(\frac{11}{25}\) ⋅ \(\frac{7}{6}\) = \(\frac{11 ⋅ 7}{25 ⋅ 6}\) = \(\frac{77}{150}\)

  11. \(\frac{10}{17}\) : \(\frac{7}{17}\) = \(\frac{10}{17}\) ⋅ \(\frac{17}{7}\) = \(\frac{10 ⋅ 17}{17 ⋅ 7}\) = \(\frac{10}{7}\) = 1\(\frac{3}{7}\)

  12. \(\frac{5}{8}\) : (\(\frac{11}{26}\) ⋅ \(\frac{26}{11}\)) = \(\frac{5}{8}\) : 1 = \(\frac{5}{8}\)

  13. 8 : \(\frac{16}{6}\) = \(\frac{8}{1}\) : \(\frac{16}{6}\) = \(\frac{8}{1}\) ⋅ \(\frac{6}{16}\) = \(\frac{8 ⋅ 6}{1 ⋅ 16}\) = \(\frac{48}{16}\) = 3

  14. \(\frac{15}{7}\) : 5 = \(\frac{15}{7}\) : \(\frac{5}{1}\) = \(\frac{15}{7}\) ⋅ \(\frac{1}{5}\) = \(\frac{15 ⋅ 1}{7 ⋅ 5}\) = \(\frac{15}{35}\) = \(\frac{3}{7}\)

Ответ: Решения выше.

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