Answer: The expanded equation is (1/4)*x - 2
Explanation:
We have the equation:
(2/9)*(9/4*x - 9)
First we use the distributive property of the multiplication.
(2/9)*(9/4*x - 9) = (2/9)*(9/4)*x - (2/9)*9
Now we solve the multiplications, here the 9 in the denomitators cancel with the 9 in the numerators:
(2/9)*(9/4)*x - (2/9)*9 = (2/4)*x - 2
now we use that 2/4 = 1/2
(2/4)*x - 2 = (1/4)*x - 2