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.
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.