Subtract 1/2(z+4)−3(1/4z+1) . Use fractions in final form.

Answer 1

To subtract the fractions, first simplify them by multiplying across:

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

Now that we've simplified the fractions, we can subtract them:

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

To subtract the fractions, we need a common denominator. The least common multiple of 2 and 4 is 4:

(2/4)z + 8/4 - (3/4)z - 12/4

Now that the fractions have the same denominator, we can subtract them:

(2z - 3z + 8 - 12)/4

Simplifying further:

(-z - 4)/4

Therefore, the final answer is (-z - 4)/4.