
(10¾-12:1⅕)*4/9+2⅙+3¼:5⅕


Ответы на вопрос





Ответ:
3 1/8 или 3,125
Пошаговое объяснение:
(10 3/4 - 12 : 1 1/5) * 4/9 + 2 1/6 + 3 1/4 : 5 1/5
сначала посчитаем в скобках
(10 3/4 - 12/1 : 6/5) = (10 3/4 - 12/1 * 5/6) = (10 3/4 - 60/6) = 10 3/4 - 10) = 3/4
получаем выражение
3/4 * 4/9 + 2 1/6 + 3 1/4 : 5 1/5
далее выполняем умножение
3/4 * 4/9 = 1/3
потом выполняем деление
3 1/4 : 5 1/5 = 13/4 : 26/5 = 13/4 * 5/26 = 5/8
теперь всё складываем
1/3 + 2 1/6 + 5/8 = 1/3 + 13/6 + 5/8 = 8/24 + 52/24 + 15/24 = 75/24 = 25/8 =
3 1/8 или 3,125



To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, we don't have any parentheses or exponents, so we can proceed with multiplication, division, addition, and subtraction from left to right:
First, perform the multiplication and division from left to right:
(10¾ - 12:1⅕) * 4/9 + 2⅙ + 3¼:5⅕
Start with the division:
(10¾ - 12 * 5/6) * 4/9 + 2⅙ + 3¼:5⅕
Now, perform the multiplication:
(10¾ - 10) * 4/9 + 2⅙ + 3¼:5⅕
Next, perform the subtraction:
(10¾ - 10) = ¾
So, the expression becomes:
(¾) * 4/9 + 2⅙ + 3¼:5⅕
Now, perform the multiplication:
(¾) * (4/9) = (3/4) * (4/9) = 12/36 = 1/3
The expression becomes:
(1/3) + 2⅙ + 3¼:5⅕
Finally, perform the addition and division:
(1/3) + 2⅙ = (1/3) + (13/6) = (2/6) + (13/6) = 15/6
And:
3¼:5⅕ = (13/4) / (26/5) = (13/4) * (5/26) = (13/52)
Now, the expression is:
(15/6) + (13/52)
You can simplify this further by finding a common denominator:
To find a common denominator, multiply 6 by 13 and 52 by 1:
(15/6) + (13/52) = (130/52) + (13/52)
Now, they have the same denominator, so you can add them:
(130/52) + (13/52) = (130 + 13) / 52 = 143/52
Finally, simplify the fraction if necessary:
143/52 is already in its simplest form, but you can also express it as a mixed number if you prefer:
143/52 = 2⅛
So, the result of the expression is either 143/52 or 2⅛.


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