Add: 1/2(x+4)+1/4(4x−2) . Answer should be in mixed number

Answer 1

To simplify the given expression and express the answer in a mixed number, we will first distribute the fractions:

1/2(x+4) + 1/4(4x−2)

1/2 * x + 1/2 * 4 + 1/4 * 4x − 1/4 * 2

x/2 + 2/2 + 4x/4 − 2/4

Next, we will combine like terms:

x/2 + 2/2 + 4x/4 − 2/4

x/2 + 1 + x − 1/2

x/2 + x/2 + 1 − 1/2

2x/2 + 1/2 − 1/2

(2x + 1)/2

Thus, the simplified expression is (2x + 1)/2, which cannot be expressed as a mixed number.

Answer 2

make it a mixed number

Answer 3

Apologies for the confusion. Since the expression (2x + 1)/2 cannot be expressed as a mixed number, there is no way to rewrite it in that form.