Add 1/2(x+4)+1/4(4x-2) in mixed number form

Answer 1

To add the expression 1/2(x+4) + 1/4(4x-2) in mixed number form, we need to simplify the expression first.

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

Distribute 1/2 and 1/4 to the terms inside the parentheses:

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

Simplify:

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

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

Combine like terms:

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

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

(3/2)x + (4/2) - (1/2)

(3/2)x + 3/2

The expression 1/2(x+4) + 1/4(4x-2) in mixed number form is (3/2)x + 3/2.