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

Answer 1

To simplify the expression, we need to distribute the fraction 1/2 to (z+4), and the fraction 3 to (1/4z+1).

Subtract each term separately:

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

Now subtract (1/2z + 2) - (3/4z + 3):

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

To combine the terms with z, we need a common denominator, which is 4:

(1/2z - 6/8z) + 2 - 3 = (4/8z - 6/8z) + 2 - 3 = -2/8z - 1

Therefore, the expression subtracting 1/2 (z+4) -3 (1/4z+1) in the final fraction form is: -2/8z - 1.