Subtract 1/2(z+4)−3(1/4z+1) and use the fraction in the final form
To solve this expression, we can simplify each term separately, then combine them:
1/2(z+4) = 1/2 * z + 1/2 * 4 = 1/2z + 2/2 = 1/2z + 1
3(1/4z+1) = 3 * 1/4z + 3 * 1 = 3/4z + 3
Now, subtract:
1/2z + 1 - (3/4z + 3)
To subtract fractions, we need a common denominator. In this case, it's 4z:
(1/2z + 1) - (3/4z + 3) = (2/4z + 4/4z) - (3/4z + 3)
= (6/4z + 4) - (3/4z + 3)
Now, combine like terms:
6/4z - 3/4z = (6 - 3)/4z = 3/4z
4 - 3 = 1
Therefore, the expression in its final form is:
3/4z + 1