Subtract 1/2 (z + 4) - 3 (1/4z + 1). Use fractions in final form. (1 point)
To subtract these fractions, we need to find a common denominator.
The common denominator is 4.
Subtracting the fractions, we have:
1/2 (z + 4) - 3 (1/4z + 1)
= 1/2z + 2 - (3/4z + 3)
Now we can distribute the negative sign to each term inside the parentheses:
= 1/2z + 2 - 3/4z - 3
Combine like terms:
= (1/2z - 3/4z) + (2 - 3)
= (2z/4 - 3z/4) + (-1)
Now we can combine the fractions:
= (2z - 3z)/4 - 1
= -z/4 - 1
Therefore, the expression in final form is -z/4 - 1.