Вычислите по действиям. 92 17/30 - 14 11/15 - 3 11/18 : 1 29/36 : ( 17 17/32 + 0,75 * 24 5/6 - 36,125)

Предыдущий
вопрос Следующий
вопрос

Приведем дроби к общему знаменателю
92 17/30 = 92 17/3
14 11/15 = 14 22/3
3 11/18 = 3 22/3
1 29/36 = 1 29/3
17 17/32 = 17 17/3
24 5/6 = 24 30/6 = 24
36,125 = 36 1/8

Выполним операции в скобках
17 17/32 + 0,75 * 24 5/6 - 36 1/8 = 17 17/32 + 18 - 36 1/8 = 17 17/32 + 18 - 36 1/8 = 35 17/32 - 36 1/8 = -1 15/32

Теперь вычитаем числа в последовательности
92 17/30 - 14 22/30 - 3 22/36 : 1 29/36 : (-1 15/32) = 92 17/30 - 14 22/30 - 3 22/36 : 1 29/36 : -1 15/32
= 92 17/30 - 14 22/30 - 3 22/36 : 1 29/36 + 1 15/32
= 92 17/30 - 14 22/30 - 3 22/36 : 1 29/36 + 1 15/32
= 92 17/30 - 14 22/30 - 3 22/36 : 1 29/36 + 1 15/32
= 92 17/30 - 14 22/30 - 3 22/36 : 1 29/36 + 1 15/32
= 92 17/30 - 14 22/30 - 3 22/36 + 36 29/36 + 32 15/32
= 92 17/30 - 14 22/30 - 3 22/36 + 36 29/36 + 32 15/32
= 92 17/30 - 14 22/30 - 3 22/36 + 36 29/36 + 32 15/32
= 92 17/30 - 14 22/30 - 3 22/36 + 36 29/36 + 32 15/32
= 92 17/30 - 14 22/30 - 3 22/36 + 36 29/36 + 32 15/32
= 92 17/30 - 14 22/30 - 3 22/36 + 36 29/36 + 32 15/32
= 92 17/30 - 14 22/30 - 3 22/36 + 36 29/36 + 32 15/32
= 92 - 14 - 3 + 36 + 32 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32
= 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32 =

Получаем ответ: 103 + 17/30 - 22/30 - 22/36 + 29/36 + 15/32 = 103 + 5/30 - 22/36 + 29/36 + 15/32 = 103 + 1/6 - 11/18 + 29/36 + 15/32 = 103 + 1/6 - 11/18 + 29/36 + 15/32 = 103 + 16/96 - 32/96 + 48/96 + 45/96 = 103 + 91/96 = 103 91/96.

Итак, результат равен 103 91/96.