Контрольные задания > 6)(4$\frac{2}{5}$- 1$\frac{2}{5}$)⋅ 0,7+4$\frac{5}{6}$)⋅ (30:$\frac{5}{28}$⋅ 4$\frac{2}{3}$)=
Вопрос:

6)(4$$\frac{2}{5}$$- 1$$\frac{2}{5}$$)⋅ 0,7+4$$\frac{5}{6}$$)⋅ (30:$$\frac{5}{28}$$⋅ 4$$\frac{2}{3}$$)=

Смотреть решения всех заданий с листа

Ответ:

Краткое пояснение: Сначала выполняем действия в скобках, затем умножение и деление слева направо, и в конце сложение и вычитание.

  1. Выполним действия в первой скобке:

    4$$\frac{2}{5}$$ - 1$$\frac{2}{5}$$ = (4 - 1) + ($$\frac{2}{5}$$ - $$\frac{2}{5}$$) = 3 + 0 = 3

  2. Выполним действия во второй скобке:

    0,7 + 4$$\frac{5}{6}$$ = $$\frac{7}{10}$$ + $$\frac{29}{6}$$ = $$\frac{7*3}{10*3}$$ + $$\frac{29*5}{6*5}$$ = $$\frac{21}{30}$$ + $$\frac{145}{30}$$ = $$\frac{21+145}{30}$$ = $$\frac{166}{30}$$ = $$\frac{83}{15}$$

  3. Выполним действия в третьей скобке:

    Показать пошаговые вычисления


    30 : $$\frac{5}{28}$$ ⋅ 4$$\frac{2}{3}$$ = 30 ⋅ $$\frac{28}{5}$$ ⋅ $$\frac{14}{3}$$ = $$\frac{30}{1}$$ ⋅ $$\frac{28}{5}$$ ⋅ $$\frac{14}{3}$$ = $$\frac{30 ⋅ 28 ⋅ 14}{1 ⋅ 5 ⋅ 3}$$ = $$\frac{6 ⋅ 28 ⋅ 14}{1 ⋅ 1 ⋅ 3}$$ = $$\frac{6 ⋅ 28 ⋅ 14}{3}$$ = $$\frac{2 ⋅ 28 ⋅ 14}{1}$$ = 2 ⋅ 28 ⋅ 14 = 56 ⋅ 14 = 784

  4. Выполним умножение:

    6 ⋅ 3 ⋅ $$\frac{83}{15}$$ ⋅ 784 = $$\frac{6}{1}$$ ⋅ $$\frac{3}{1}$$ ⋅ $$\frac{83}{15}$$ ⋅ $$\frac{784}{1}$$ = $$\frac{6 ⋅ 3 ⋅ 83 ⋅ 784}{1 ⋅ 1 ⋅ 15 ⋅ 1}$$ = $$\frac{18 ⋅ 83 ⋅ 784}{15}$$ = $$\frac{6 ⋅ 83 ⋅ 784}{5}$$ = $$\frac{310752}{5}$$ = 62150.4

Ответ: 62150.4

ГДЗ по фото 📸