Answer:
2/3 (-9+3) simplifies to 2/3 (-6) which is equal to -4.
Explanation:
To simplify 2/3(-9+3), we need to start by simplifying the expression inside the parentheses, which is -9+3=-6. Therefore, we can rewrite the expression as 2/3(-6).
Now we can apply the distributive property of multiplication over addition/subtraction to simplify further. This property states that a(b+c) = ab + ac. So, 2/3(-6) can be written as:
2/3 x -6 = 2/3 x (-1 x 6) = 2/3 x (-1) x 6 = -2/3 x 6
Now we just need to multiply -2/3 by 6, which gives us -12/3 or -4. Therefore, 2/3(-9+3) simplifies to -4.