-2/3z=-4/9

i tried to solve, but i keep on getting the wrong answer, and i do not understand what i am doing wrong. please help.

-2/3z=-4/9

z = -4/9 divided by -2/3
z = -4/9 * -3/2
z = 12/18 = 2/3

Check:
-2/3 * 2/3 = -4/9

ok thank you

You're welcome.

To solve the equation -2/3z = -4/9, we need to isolate the variable z. Here's the step-by-step solution:

Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of z.
Since the coefficient of z is -2/3, the reciprocal is -3/2. Therefore, we multiply both sides of the equation by -3/2:

-2/3z * (-3/2) = -4/9 * (-3/2)

On the left side, the -3/2 cancels out the -2/3, leaving only z:

z = -4/9 * (-3/2)

Step 2: Simplify the right side of the equation:

-4/9 * (-3/2) = 12/18 = 2/3

So the solution to the equation -2/3z = -4/9 is z = 2/3.

If you were getting a different answer, it's possible that you made a mistake while performing the calculations or simplifying the fractions. Make sure to double-check your work at each step to avoid errors.