
(-3 2/3+5 7/9) -(2 1/8- 3 7/12)


Ответы на вопрос

Ответ:
должно быть точно будет -3 43/72



(-3 + 2/3 + 5 + 7/9) - (2 + 1/8 - 3 + 7/12)
First, let's simplify the terms inside each parentheses separately.
Inside the first parentheses: -3 + 2/3 + 5 + 7/9 To add the fractions, we need to find a common denominator. The least common multiple of 3 and 9 is 9, so we need to convert 2/3 to have a denominator of 9. Multiplying the numerator and denominator of 2/3 by 3 gives us 6/9. Now we can add the fractions: 2/3 + 7/9 = 6/9 + 7/9 = 13/9 So the expression inside the first parentheses becomes: -3 + 13/9 + 5
Inside the second parentheses: 2 + 1/8 - 3 + 7/12 To add the fractions, we need to find a common denominator. The least common multiple of 8 and 12 is 24, so we need to convert 1/8 to have a denominator of 24. Multiplying the numerator and denominator of 1/8 by 3 gives us 3/24. Now we can add the fractions: 1/8 + 7/12 = 3/24 + 14/24 = 17/24 So the expression inside the second parentheses becomes: 2 + 17/24 - 3
Now we can simplify the expressions inside each parentheses: -3 + 13/9 + 5 = 2 + 4/9 2 + 17/24 - 3 = -1 + 17/24
Now we can subtract the simplified second parentheses expression from the simplified first parentheses expression: (2 + 4/9) - (-1 + 17/24) To subtract, we need to distribute the negative sign inside the second parentheses: 2 + 4/9 + 1 - 17/24 Now we can add the whole numbers and fractions separately: 2 + 1 + 4/9 - 17/24 To add the fractions, we need to find a common denominator. The least common multiple of 9 and 24 is 72, so we need to convert 4/9 and 17/24 to have a denominator of 72. Multiplying the numerator and denominator of 4/9 by 8 gives us 32/72, and multiplying the numerator and denominator of 17/24 by 3 gives us 51/72. Now we can add the fractions: 32/72 - 51/72 = -19/72 So the final expression becomes: 2 + 1 - 19/72 = 3 - 19/72 The final answer is 3 - 19/72.


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