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

Answer 1

To solve this expression, let's distribute the fractions first:

1/2 × (x + 4) = (1/2)x + (1/2) × 4 = (1/2)x + 2

1/4 × (4x - 2) = (1/4) × 4x - (1/4) × 2 = x - (1/2)

Now, let's simplify the expression by adding the like terms:

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

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

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

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

= (3/2)x + 3/2

Now, we can convert the improper fraction to a mixed number:

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

Therefore, the expression 1/2(x + 4) + 1/4(4x - 2) in mixed number form is (1 1/2)x + 1 1/2.