
3/20*(17/12-1/2)+79/80_________________13/24:(7/12+1/2)-1/4


Ответы на вопрос








Let's break down the expression step by step:
3/20*(17/12-1/2)+79/80
First, we need to simplify the expression inside the parentheses:
17/12 - 1/2 = (17/12 * 2/2) - 1/2 = 34/24 - 12/24 = 22/24 = 11/12
Now we can substitute this value back into the original expression:
3/20*(11/12) + 79/80
Next, we need to multiply 3/20 by 11/12:
(3/20)(11/12) = (311)/(20*12) = 33/240 = 11/80
So our expression now becomes:
11/80 + 79/80
Now we can simply add the fractions:
11/80 + 79/80 = 90/80 = 9/8
So the first part of the expression simplifies to 9/8.
Now let's move on to the second part of the expression:
13/24:(7/12+1/2)-1/4
First, we need to simplify the expression inside the parentheses:
7/12 + 1/2 = 7/12 + 6/12 = 13/12
Now we can substitute this value back into the expression:
13/24:(13/12) - 1/4
Next, we need to subtract 1/4 from 13/12:
13/12 - 1/4 = (13/12 * 4/4) - 1/4 = 52/48 - 12/48 = 40/48 = 5/6
So our expression now becomes:
13/24:(5/6)
To divide by a fraction, we need to multiply by its reciprocal. So we can rewrite the expression as:
13/24 * (6/5) = 13/4 * (1/5) = 13/20
Therefore, the final value of the expression is:
9/8 + 13/20 = (45/40) + (26/40) = 71/40
So the answer is 71/40.


Топ вопросов за вчера в категории Математика
Последние заданные вопросы в категории Математика
-
Математика
-
Литература
-
Алгебра
-
Русский язык
-
Геометрия
-
Английский язык
-
Химия
-
Физика
-
Биология
-
Другие предметы
-
История
-
Обществознание
-
Окружающий мир
-
География
-
Українська мова
-
Информатика
-
Українська література
-
Қазақ тiлi
-
Экономика
-
Музыка
-
Право
-
Беларуская мова
-
Французский язык
-
Немецкий язык
-
МХК
-
ОБЖ
-
Психология
-
Физкультура и спорт
-
Астрономия
-
Кыргыз тили
-
Оʻzbek tili