Subtract 1/ 2 (z+4)−3 (1/4z+1) . Use fractions in final form.

Answer 1

To subtract these expressions, we need to distribute the negative sign to both terms inside the second parentheses:

1/2(z + 4) - 3(1/4z + 1)

= 1/2z + 2 - 3/4z - 3

Now, let's combine like terms by adding or subtracting fractions with the same denominator:

= (1/2z - 3/4z) + (2 - 3)

To combine the fractions, we need a common denominator. In this case, the least common multiple of 2 and 4 is 4:

= (2/4z - 3/4z) + (2 - 3)

= (-1/4z) + (-1)

= -1/4z - 1

Therefore, the final result is -1/4z - 1.