Convert the fraction 3/4 to decimal form to get 3/4 = 0.75
To factor out 3/4, we divide each term by 3/4 or 0.75
It might be easier to divide by 0.75 to avoid two division symbols
So (3/4)z+6 = 0.75z+6
Divide each term (0.75z and 6) by 0.75 which is what we want to factor out
0.75z/0.75 = z
6/0.75 = 8
Therefore,
0.75z+6 = 0.75*(z+8)
Note how we can distribute the 0.75 back through to each term inside (z and 8) and we'll end up with 0.75z+6 again.
The answer in fraction form is [tex]\frac{3}{4}(z+8)[/tex] which is 3/4 outside the parenthesis multiplied by the group (z+8)
