2 1/3:x-1 1/6 = 1 5/9срочно

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To solve this equation, we need to first convert the mixed numbers to improper fractions.

2 1/3 = 7/3
1 1/6 = 7/6
1 5/9 = 14/9

Now the equation becomes:

(7/3)x - (7/6) = 14/9

To get rid of the fractions, we can multiply every term by the least common denominator (which is 18):

18 (7/3)x - 18 (7/6) = 18 * (14/9)

18 (7/3)x simplifies to 42x
18 (7/6) simplifies to 21
18 * (14/9) simplifies to 28

So the equation now becomes:

42x - 21 = 28

Adding 21 to both sides:

42x = 49

Dividing by 42:

x = 49/42 or x = 7/6

Therefore, the solution to the equation 2 1/3:x-1 1/6 = 1 5/9 is x = 7/6.