Add: 1/2(x+4)+1/4(4x-2) answer should be in a mixed number form

Answer 1

To find the solution, we will simplify the expression first.

First, let's distribute the fractions:
1/2(x + 4) + 1/4(4x - 2) = 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2

Simplifying each term:
= (1/2)x + 2/2 + (4/4)x - 2/4
= (1/2)x + 1 + x - 1/2

Combining like terms:
= (3/2)x + 1 - 1/2
= (3/2)x + 2/2 - 1/2
= (3/2)x + 1/2

Since the expression cannot be simplified further and has a fraction in it, we cannot express it as a mixed number. Thus, the answer in simplified form is (3/2)x + 1/2.