Question

решите примеры : (6/35-4/7)-(-1,8-4,3)-5,7;   (3,9-5,8)-(-1/45-7/9)+1,1;  (1/30-5/6)-(3,9-2,2)-5,3;   (3,7-2,4)-(7/15-2/3)+5,9= .  И с объяснениями . заранее спасибо

Answer 1

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Answer 2

To solve the given expressions, let's break them down step by step:

Expression 1: (6/35 - 4/7) - (-1.8 - 4.3) - 5.7

Step 1: Simplify the fractions: - 6/35 can be simplified to 6/35 = 6/35 = 3/15 = 1/5 - 4/7 remains the same

So the expression becomes: (1/5 - 4/7) - (-1.8 - 4.3) - 5.7

Step 2: Simplify the subtraction inside the parentheses: - (-1.8 - 4.3) = -6.1

So the expression becomes: (1/5 - 4/7) - (-6.1) - 5.7

Step 3: Simplify the subtraction outside the parentheses: - (1/5 - 4/7) = (7/35 - 20/35) = -13/35

So the expression becomes: -13/35 - (-6.1) - 5.7

Step 4: Simplify the subtraction: - -13/35 - (-6.1) = -13/35 + 6.1 = 6.027

So the final result for Expression 1 is: 6.027

Expression 2: (3.9 - 5.8) - (-1/45 - 7/9) + 1.1

Step 1: Simplify the subtraction inside the parentheses: - (3.9 - 5.8) = -1.9

So the expression becomes: -1.9 - (-1/45 - 7/9) + 1.1

Step 2: Simplify the subtraction outside the parentheses: - -1/45 - 7/9 = -16/360 - 280/360 = -296/360 = -37/45

So the expression becomes: -1.9 - (-37/45) + 1.1

Step 3: Simplify the subtraction: - -1.9 - (-37/45) = -1.9 + 37/45 = 0.17777777777777778

So the final result for Expression 2 is: 0.17777777777777778

Expression 3: (1/30 - 5/6) - (3.9 - 2.2) - 5.3

Step 1: Simplify the fractions: - 1/30 remains the same - 5/6 can be simplified to 5/6 = 25/30 = 5/6

So the expression becomes: (1/30 - 5/6) - (3.9 - 2.2) - 5.3

Step 2: Simplify the subtraction inside the parentheses: - (3.9 - 2.2) = 1.7

So the expression becomes: (1/30 - 5/6) - 1.7 - 5.3

Step 3: Simplify the subtraction outside the parentheses: - (1/30 - 5/6) = (1/30 - 25/30) = -24/30 = -4/5

So the expression becomes: -4/5 - 1.7 - 5.3

Step 4: Simplify the subtraction: - -4/5 - 1.7 = -4/5 - 8/5 = -12/5 = -2.4

So the final result for Expression 3 is: -2.4

Expression 4: (3.7 - 2.4) - (7/15 - 2/3) + 5.9

Step 1: Simplify the subtraction inside the parentheses: - (3.7 - 2.4) = 1.3

So the expression becomes: 1.3 - (7/15 - 2/3) + 5.9

Step 2: Simplify the subtraction outside the parentheses: - (7/15 - 2/3) = (7/15 - 10/15) = -3/15 = -1/5

So the expression becomes: 1.3 - (-1/5) + 5.9

Step 3: Simplify the subtraction: - 1.3 - (-1/5) = 1.3 + 1/5 = 1.5

So the expression becomes: 1.5 + 5.9

Step 4: Simplify the addition: - 1.5 + 5.9 = 7.4

So the final result for Expression 4 is: 7.4

In summary, the solutions to the given expressions are as follows: - Expression 1: 6.027 - Expression 2: 0.17777777777777778 - Expression 3: -2.4 - Expression 4: 7.4

I hope this helps! Let me know if you have any further questions.