
- 1/3-(- 3 7/18-5 8/9) 35 баллов


Ответы на вопрос

Ответ:
Пошаговое объяснение:
- 1/3-(- 3 7/18-5 8/9) =-6/18+3 7/18+5 16/18=8 17/18



To solve the given expression, let's break it down step by step:
1/3 - (-3 7/18 - 5 8/9)
First, let's simplify the mixed numbers by converting them to improper fractions:
-3 7/18 = -3 + 7/18 = -3 * 18/18 + 7/18 = -54/18 + 7/18 = (-54 + 7)/18 = -47/18
5 8/9 = 5 + 8/9 = 5 * 9/9 + 8/9 = 45/9 + 8/9 = (45 + 8)/9 = 53/9
Now we can substitute these values back into the original expression:
1/3 - (-47/18 - 53/9)
To simplify the expression further, let's find a common denominator for the fractions involved, which in this case is 18:
1/3 - (-47/18 - 53/9) = 1/3 - (-47/18 * 2/2 - 53/9 * 2/2) = 1/3 - (-94/36 - 106/36)
Now we can subtract the fractions:
1/3 - (-94/36 - 106/36) = 1/3 - (-200/36) = 1/3 + 200/36
To add these fractions, we need a common denominator, which is 36:
1/3 + 200/36 = 12/36 + 200/36 = (12 + 200)/36 = 212/36
Finally, let's simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
212/36 = (212/4) / (36/4) = 53/9
So the simplified form of the expression is 53/9.
As for the statement "35 баллов," it seems unrelated to the given expression, so it's unclear what it refers to. If you have any further questions or if there's additional information you'd like to provide, please let me know.


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