Question

Show work please! Thanks a Lot

Answer 1

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 $\frac{3}{4}(z+8)$ which is 3/4 outside the parenthesis multiplied by the group (z+8)