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