Предмет: Математика, автор: Ggaux12

подайте дріб 7 18/23 у вигляді десяткового дробу

Ответы

Автор ответа: olgagryukova2512

Ответ:

Для перевода обыкновенного дроби в десятичную используем деление.

7 / 23 = 0.3043 (округляем до 4 знаков после запятой)

Далее вычитаем 7 из 18 и делим на 23:

11 / 23 = 0.4783 (опять округляем до 4 знаков)

Теперь складываем 0.3043 и 0.4783:

0.3043 + 0.4783 = 0.7826

Ответ: 7 18/23 = 0.7826

Автор ответа: Ivan19074

Ответ:

7,(7826086956521739130434)

Пошаговое объяснение:

7 18/23 = 7,(7826086956521739130434).

Здесь число в скобках - это период числа 23, умноженный на 18. То есть, когда мы будем делить 18 на 23, мы получим 0 а дальше ряд цифр после запятой, причём этот ряд будет повторятся.

Например, период числа 3 это 3, поэтому 1/3 = 0,(3), период числа 11 это 09, поэтому 1/11 = 0,(09), а период 7 это 142857, поэтому 1/7 = 0,(142857).

Когда числитель дроби не равен 1, то период надо умножить на числитель. Так, 5/11 = 0,(45), потому что 9 * 5 = 45.

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