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 negative sign to both terms within the parentheses.

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

Now, we can combine the like terms:
(1/2z + 2) - (3/4z + 3)

To add or subtract fractions, we need a common denominator. In this case, the least common denominator is 4.

(1/2z + 2) - (3/4z + 3) = [(2/4z + 8/4) - (3/4z + 12/4)]

Now, we can subtract the fractions:
(2/4z + 8/4) - (3/4z + 12/4) = (2/4z - 3/4z) + (8/4 - 12/4)

Simplifying further:
(2/4z - 3/4z) + (8/4 - 12/4) = -1/4z - 4/4

Now, we can simplify the fractions:
-1/4z - 4/4 = -1/4z - 1

So, the final answer in fraction form is -1/4z - 1.