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

Answer 1

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

First, we simplify the expression inside the parentheses:
1/2(z+4) = (1/2)z + 2
1/4z + 1 = (1/4)z + 1

Now, we subtract the two simplified expressions:
(1/2)z + 2 - 3((1/4)z + 1)
= (1/2)z + 2 - (3/4)z - 3
= (1/2 - 3/4)z + (2 - 3)
= (2/4 - 3/4)z - 1
= (-1/4)z - 1

So, the simplified expression is (-1/4)z - 1.