Question

Subtract 1/2(z + 4) - 3 (1/4z + 1) use fraction in final form

Answers

Answered by GPT 3.5
To simplify the expression and write it in its final form, we can start by distributing the fractions and simplifying.

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

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

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

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

Next, we can combine like terms by adding or subtracting the coefficients of z and numbers.

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

To simplify further, we'll find a common denominator for the z terms, which is 4.

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

= - 1/4z - 2

Therefore, the expression 1/2(z + 4) - 3(1/4z + 1) in final form is -1/4z - 2.
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