1/2(x + 4) + 1/4(4x - 2) answer is mixed number form

1 answer

To solve the equation 1/2(x + 4) + 1/4(4x - 2) and express the answer in mixed number form, we need to simplify the expression first.

Step 1: Distribute the fractions and simplify within parentheses:
1/2(x + 4) + 1/4(4x - 2) = 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
= (1/2)x + 2/2 + (1)x - 2/4
= (1/2)x + 1 + (1)x - 1/2

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

Therefore, the answer in mixed number form is 1 and 1/2.