
1 ( 4-3 5/7) :3 + 4 4/7


Ответы на вопрос

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To solve this expression, you should follow the order of operations, which is typically represented by the acronym PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Let's break down the expression step by step:
Inside the parentheses: 4 - 3 5/7 = 4 - (3 5/7)
Perform the subtraction inside the parentheses: 4 - 3 5/7 = 4 - (24/7)
Now, resolve the subtraction inside the parentheses: 4 - (24/7) = (28/7) - (24/7)
Simplify the fractions inside the parentheses: (28/7) - (24/7) = 4/7
Now, we have the expression as 1 * (4/7) : 3 + 4 4/7
Perform the multiplication and division from left to right: 1 * (4/7) : 3 = (4/7) : 3 = (4/7) * (1/3) = 4/21
Now, the expression becomes: 4/21 + 4 4/7
To add these two fractions, find a common denominator, which is 7: (4/21) + (28/7) = (4/21) + (4 * 4/7)
Now, add the fractions: (4/21) + (16/7)
Find a common denominator, which is 21: (4/21) + (16/7) = (4/21) + (48/21)
Add the fractions with the common denominator: (4/21) + (48/21) = 52/21
So, the final result of the expression is 52/21 or approximately 2.4762 when expressed as a decimal.


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