
1целая5/6- 2 целых5/9+ 4целых1/3 - 3 целых 1/2


Ответы на вопрос




To solve this expression, we need to convert all the mixed numbers into improper fractions and then combine them.
1 5/6 can be written as (6 + 5)/6 = 11/6 2 5/9 can be written as (29 + 5)/9 = 23/9 4 1/3 can be written as (43 + 1)/3 = 13/3 3 1/2 can be written as (3*2 + 1)/2 = 7/2
Therefore, the expression becomes:
11/6 - 23/9 + 13/3 - 7/2
To simplify this expression, we need to find a common denominator. The least common multiple of 6, 9, 3, and 2 is 18. So, we will convert all the fractions into 18ths.
11/6 = (11/6) x (3/3) x (3/3) = 99/54 23/9 = (23/9) x (2/2) x (2/2) = 92/18 13/3 = (13/3) x (6/6) = 78/18 7/2 = (7/2) x (9/9) = 63/18
Now, the expression becomes:
99/54 - 92/18 + 78/18 - 63/18
To combine these fractions, we can just add and subtract the numerators as follows:
(99 - 92 + 78 - 63)/18 = 22/18
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2.
22/18 = (22/2) / (18/2) = 11/9
Therefore, the simplified value of the expression is 11/9.


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