Контрольные задания
Вопрос:

4. Вычислите A) (4/5 - 1/3) * 15 Б) (2/7 + 5/21) * 21 Г) (3/8 + 5/12) * 24 Д) (8/11 - 3/22) * 44 Е) 10 * 2/5 Ж) 12 * 9/13 И) (8 - 1 1/9) * 9 Й) (3 1/5 - 2 1/15) * 5 Л) (2 3/4 + 4 1/8) * 5/11 M) 1 2/5 * (1 1/14 - 1 5/7) B) (7/12 - 5/9) * 12 E) 6 1/5 * 4 3) (4 2/3 + 5 1/2) * 6 K) (14/17 - 1/34) * 34 H) 4 3/8 * (1 3/7 - 34/35)

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Ответ:

4. Вычислите

  1. A) \( \left( \frac{4}{5} - \frac{1}{3} \right) \cdot 15 = \left( \frac{12 - 5}{15} \right) \cdot 15 = \frac{7}{15} \cdot 15 = 7 \)
  2. Б) \( \left( \frac{2}{7} + \frac{5}{21} \right) \cdot 21 = \left( \frac{6 + 5}{21} \right) \cdot 21 = \frac{11}{21} \cdot 21 = 11 \)
  3. Г) \( \left( \frac{3}{8} + \frac{5}{12} \right) \cdot 24 = \left( \frac{9 + 10}{24} \right) \cdot 24 = \frac{19}{24} \cdot 24 = 19 \)
  4. Д) \( \left( \frac{8}{11} - \frac{3}{22} \right) \cdot 44 = \left( \frac{16 - 3}{22} \right) \cdot 44 = \frac{13}{22} \cdot 44 = 13 \cdot 2 = 26 \)
  5. E) \( 10 \cdot \frac{2}{5} = \frac{10 \cdot 2}{5} = 2 \cdot 2 = 4 \)
  6. Ж) \( 12 \cdot \frac{9}{13} = \frac{12 \cdot 9}{13} = \frac{108}{13} \)
  7. И) \( \left( 8 - 1 \frac{1}{9} \right) \cdot 9 = \left( \frac{72 - 9}{9} \right) \cdot 9 = \frac{63}{9} \cdot 9 = 63 \)
  8. Й) \( \left( 3 \frac{1}{5} - 2 \frac{1}{15} \right) \cdot 5 = \left( \frac{16}{5} - \frac{31}{15} \right) \cdot 5 = \left( \frac{48 - 31}{15} \right) \cdot 5 = \frac{17}{15} \cdot 5 = \frac{17}{3} \)
  9. Л) \( \left( 2 \frac{3}{4} + 4 \frac{1}{8} \right) \cdot \frac{5}{11} = \left( \frac{11}{4} + \frac{33}{8} \right) \cdot \frac{5}{11} = \left( \frac{22 + 33}{8} \right) \cdot \frac{5}{11} = \frac{55}{8} \cdot \frac{5}{11} = \frac{5}{8} \cdot 5 = \frac{25}{8} \)
  10. М) \( 1 \frac{2}{5} \cdot \left( 1 \frac{1}{14} - 1 \frac{5}{7} \right) = \frac{7}{5} \cdot \left( \frac{15}{14} - \frac{12}{7} \right) = \frac{7}{5} \cdot \left( \frac{15 - 24}{14} \right) = \frac{7}{5} \cdot \frac{-9}{14} = \frac{1}{5} \cdot \frac{-9}{2} = -\frac{9}{10} \)
  11. B) \( \left( \frac{7}{12} - \frac{5}{9} \right) \cdot 12 = \left( \frac{21 - 20}{36} \right) \cdot 12 = \frac{1}{36} \cdot 12 = \frac{1}{3} \)
  12. E) \( 6 \frac{1}{5} \cdot 4 = \frac{31}{5} \cdot 4 = \frac{124}{5} \)
  13. 3) \( \left( 4 \frac{2}{3} + 5 \frac{1}{2} \right) \cdot 6 = \left( \frac{14}{3} + \frac{11}{2} \right) \cdot 6 = \left( \frac{28 + 33}{6} \right) \cdot 6 = \frac{61}{6} \cdot 6 = 61 \)
  14. K) \( \left( \frac{14}{17} - \frac{1}{34} \right) \cdot 34 = \left( \frac{28 - 1}{34} \right) \cdot 34 = \frac{27}{34} \cdot 34 = 27 \)
  15. H) \( 4 \frac{3}{8} \cdot \left( 1 \frac{3}{7} - \frac{34}{35} \right) = \frac{35}{8} \cdot \left( \frac{10}{7} - \frac{34}{35} \right) = \frac{35}{8} \cdot \left( \frac{50 - 34}{35} \right) = \frac{35}{8} \cdot \frac{16}{35} = \frac{16}{8} = 2 \)

Ответ: А) 7, Б) 11, Г) 19, Д) 26, Е) 4, Ж) 108/13, И) 63, Й) 17/3, Л) 25/8, М) -9/10, B) 1/3, E) 124/5, 3) 61, K) 27, H) 2.

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