
21 2/59-2/5*(3 15/28:9/28-1:1 10/49):2по дейвствия пожалуйста:)


Ответы на вопрос

по действиям
3 15/28=99/28
99/28:9/28=99/28* 28/9=11
1 10/49=59/49
1:59/49=1*49/59=49/59
11- 49/59=10 10/59=600/59
2/5:2=2/5* 1/2=1/5
1/5*600/59=120/59=2 2/59
21 2/59-2 2/59=19



Calculation of the Expression
To solve the given expression 21 + 2/59 - 2/5*(3 + 15/28 ÷ 9/28 - 1 ÷ 1 + 10/49) ÷ 2, we'll follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).First, let's simplify the expression within the parentheses.
Step 1: Simplify the Expression within the Parentheses - 15/28 ÷ 9/28 = 15/28 * 28/9 = 5/3 - 1 ÷ 1 = 1 - Now, the expression within the parentheses becomes 3 + 5/3 - 1 + 10/49 = 3 + 5/3 - 1 + 10/49
Step 2: Simplify the Expression within the Parentheses - 5/3 - 1 = 2/3 - Now, the expression within the parentheses becomes 3 + 2/3 + 10/49
Step 3: Simplify the Expression within the Parentheses - 3 + 2/3 = 9/3 + 2/3 = 11/3 - Now, the expression within the parentheses becomes 11/3 + 10/49
Step 4: Simplify the Expression within the Parentheses - To add 11/3 and 10/49, we need to find a common denominator. The common denominator for 3 and 49 is 147. - 11/3 * 49/49 = 539/147 - 10/49 * 3/3 = 30/147 - Now, the expression within the parentheses becomes 539/147 + 30/147 = 569/147
Step 5: Substitute the Simplified Expression back into the Original Expression Now, the original expression becomes 21 + 2/59 - 2/5 * 569/147 ÷ 2
Step 6: Perform Multiplication and Division - 2/5 * 569/147 = 1138/735 - 1138/735 ÷ 2 = 1138/1470
Step 7: Perform Addition and Subtraction - 21 + 2/59 - 1138/1470 = 21 + 2/59 - 1138/1470
Final Result
The final result of the given expression 21 + 2/59 - 2/5*(3 + 15/28 ÷ 9/28 - 1 ÷ 1 + 10/49) ÷ 2 is 21 + 2/59 - 1138/1470.

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