Question

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

Answer 1

just do the problem

Answer 2

wow like that probably wasn't the FIRST thing they thought of btw the answer is 1 1/2x+1 1/2.

Answer 3

To simplify the expression, we first need to distribute the fractions:

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

Simplifying further, we have:

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

To add the fractions, we need to find a common denominator. The least common multiple of 2 and 4 is 4, so let's convert all the fractions to have a denominator of 4:

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

Now we can simplify the expression:

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

Combining like terms, we have:

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

Next, we add the coefficients together:

(6x + 2)/4

Finally, we simplify the expression, if possible:

The numerator cannot be divided evenly by the denominator, so we write the expression in mixed number form.

(6x + 2)/4 can be written as (6x/4 + 2/4), which simplifies to (3/2x + 1/2).