Solve for zz. Express your answer as a proper or improper fraction in simplest terms.
start fraction, 3, divided by, 4, end fraction, minus, one eigth, z, equals, one quarter
4
3
−
8
1
z=
4
1
To solve for zz, we need to isolate z on one side of the equation.
First, let's simplify the expression on the left side of the equation:
3/4 - (1/8)z
Next, let's get rid of the fraction on the left side by finding a common denominator:
3/4 = 6/8
Now, let's substitute the simplified expression and the value of 6/8 into the equation:
6/8 - (1/8)z = 1/4
To eliminate the fractions, we can multiply every term in the equation by 8:
8 * (6/8) - 8 * (1/8)z = 8 * (1/4)
Simplifying further:
6 - z = 2
To solve for z, we need to isolate z on one side of the equation. We can do this by subtracting 6 from both sides:
- z = 2 - 6
Simplifying further:
- z = -4
Finally, we can solve for zz by multiplying both sides of the equation by -1:
z = 4
Therefore, zz equals 4.