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

Answer 1

To subtract 1/2(z + 4) - 3(1/4z + 1), we need to distribute the –3 to both terms within the parentheses:

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

Now, we can combine the like terms:

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

To combine fractions, they must have the same denominator. To obtain a common denominator, we multiply the numerator and denominator of the first fraction by 2 and multiply the numerator and denominator of the second fraction by 4:

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

Simplifying fractions:

(-1/4z) + (-8/4)

= -1/4z - 2

Therefore, the final answer is -1/4z - 2.

Answer 2

Is that correct?