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

1 answer

First, distribute the fractions:

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

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

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

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

Next, combine like terms by combining the coefficients of z:

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

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

= -1/4z - 2

The final form is -1/4z - 2.