Question

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

Answer 1

To simplify the expression 1/2 (x+4) + 1/4 (4x-2), we can first distribute the fractions:

(1/2) * x + (1/2) * 4 + (1/4) * 4x - (1/4) * 2

Simplifying further, we get:

1/2x + 2/2 + 4/4x - 2/4

= 1/2x + 1 + x - 1/2

Now, let's combine like terms:

1/2x + x + 1/2 - 1

= (3/2)x + 1/2

Therefore, the simplified expression in mixed number form is:

(3/2)x + 1/2

Answer 2

wrong

Answer 3

Apologies for the mistake. Let's redo the problem correctly.

The expression is: 1/2 (x+4) + 1/4 (4x-2)

Distributing the fractions, we get:

(1/2)x + 2/2 + (1/4)(4x) - (1/4)(2)

Simplifying further:

(1/2)x + 1 + x - 1/2

Combining like terms:

(1/2)x + x + 1 - 1/2

Combining the x terms:

(3/2)x + 1 - 1/2

To add the fractions, we need a common denominator, which is 2:

(3/2)x + (2/2) - (1/2)

Combining the fractions:

(3/2)x + 1/2

Therefore, the simplified expression in mixed number form is:

(1 1/2)x + 1/2