4 1/2 x 8/9 - 5 1/3 : (-10 2/3)

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вопрос

To solve this problem, we follow the order of operations (parentheses, multiplication and division from left to right, addition and subtraction from left to right).

First, we calculate the division:
5 1/3 : (-10 2/3) = 5 + 1/3 - (10 + 2/3) = 5 1/3 - 10 2/3 = -5 2/3

Next, we calculate the multiplication:
4 1/2 x 8/9 = 9/2 x 8/9 = 72/18 = 4

Finally, we subtract the result of the division from the result of the multiplication:
4 - (-5 2/3) = 4 + 5 2/3 = 4 + 5 + 2/3 = 9 2/3

Therefore, the solution is 9 2/3.