
3 1/6+(- 6 2/9-2 7/12)


Ответы на вопрос

Ответ:
-58,6
Пошаговое объяснение:
-62,9-27,12,так как это в скобках.
Это будет -90,02 и теперь складываем.
31,6+(-90,2)= -58,6



Ответ:
-58,6
Пошаговое объяснение:



To solve the expression 3 1/6 + (-6 2/9 - 2 7/12), you can follow these steps:
Step 1: Convert all mixed numbers to improper fractions.
- 3 1/6 as an improper fraction is (3 * 6 + 1) / 6 = 19/6.
- -6 2/9 as an improper fraction is (-6 * 9 + 2) / 9 = -56/9.
- 2 7/12 as an improper fraction is (2 * 12 + 7) / 12 = 31/12.
So, the expression becomes: 19/6 + (-56/9) - (31/12).
Step 2: Find a common denominator for the fractions. The common denominator for 6, 9, and 12 is 36. So, we need to rewrite the fractions with this denominator:
- 19/6 becomes (19/6) * (6/6) = 114/36.
- -56/9 becomes (-56/9) * (4/4) = -224/36.
- 31/12 remains as it is.
Now, the expression is: 114/36 + (-224/36) - (31/12).
Step 3: Add and subtract the fractions.
114/36 + (-224/36) equals -110/36 (since you add the numerators when the denominators are the same).
Now, subtract 31/12 from -110/36. To do this, find a common denominator for 36 and 12, which is also 36.
31/12 becomes (31/12) * (3/3) = 93/36.
Now, the expression is: -110/36 - 93/36.
Step 4: Combine the fractions:
- (-110/36) - (93/36) equals -203/36.
Step 5: Simplify the fraction (if needed):
- To simplify the fraction further, you can divide both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case.
So, the final result is: -203/36.
If you want to express this as a mixed number, you can divide -203 by 36:
-203 ÷ 36 = -5 with a remainder of 13.
So, the result as a mixed number is: -5 13/36.


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