Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To subtract fractions, we need to have a common denominator. In this case, the least common denominator (LCD) is 4.

First, we will simplify the given expression:

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

Expanding the expressions inside the parentheses:

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

Now, we will combine like terms:

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

To combine the fractions with different denominators, we need to have a common denominator. In this case, the common denominator is 4:

(2z/4 - 3z/4) + (8/4 - 12/4)

Simplifying:

(2z - 3z)/4 + (8 - 12)/4

-z/4 + (-4)/4

-z/4 - 1

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