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

Answer 1

To subtract fractions, we need to find a common denominator. The common denominator between 2 and 4 is 4.

So, we can rewrite the expression as:

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

To simplify, we distribute:

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

Simplifying further:

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

Which can be written as:

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

Now, let's combine like terms:

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

Simplifying the terms:

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

Combining the like terms again:

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

Simplifying:

(-z)/4 + 1/4

The final answer is:

-z/4 + 1/4