
Напишите полное решение, пожалуйста 24 - (3 3/5 - 1 7/9) : (1/2 - 1/3)


Ответы на вопрос

2) 1/2 - 1/3 = (3-2)/6 = 1/6;
3) 82/45 : 1/6 = 82/45 * 6/1 = 164/15;
4) 24 - 164/15 = (360-164)/15 = 196/15 = 13 1/15.






Calculation of 24 - (3 + 3/5 - 1 + 7/9) ÷ (1/2 - 1/3)
To solve the given expression, we'll follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. First, we'll simplify the expression inside the parentheses. 2. Then, we'll perform the division. 3. Finally, we'll subtract the result from 24.
Let's start by simplifying the expression inside the parentheses.
Simplifying the Expression Inside the Parentheses
The expression inside the parentheses is: 3 + 3/5 - 1 + 7/9.
To simplify this, we'll first add 3 and 1, and then subtract the sum from 3/5 and add 7/9.
Step 1: Add 3 and 1. - 3 + 1 = 4
Step 2: Subtract the sum from 3/5 and add 7/9. - 3/5 - 4 + 7/9 = 3/5 - 4 + 7/9
Now, let's perform the division and subtraction.
Performing Division and Subtraction
We'll perform the division and subtraction in the expression 3/5 - 4 + 7/9.
Step 3: Perform the division. - 3/5 - 4 + 7/9 = 0.6 - 4 + 0.777...
Step 4: Perform the subtraction. - 0.6 - 4 + 0.777... = -3.4 + 0.777... = -2.622...
Now that we have the result of the expression inside the parentheses, we can proceed to the final step.
Subtracting the Result from 24
The final step is to subtract the result from 24.
Step 5: Subtract the result from 24. - 24 - (-2.622...) = 24 + 2.622... = 26.622...
Therefore, the value of the expression 24 - (3 + 3/5 - 1 + 7/9) ÷ (1/2 - 1/3) is approximately 26.622.


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