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

Answer 1

To simplify the expression, we can first distribute the fractions:

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

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

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

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

We can now combine like terms:

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

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

To add the mixed number, we first need to find a common denominator for the fractions.

The common denominator for 2 and 1 is 2.

The common denominator for 2 and 1/2 is 2.

Now we can add the fractions:

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

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

Therefore, the simplified expression is (3/2)x + (1/2).

Answer 2

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

Answer 3

To simplify the expression, we can first distribute the fractions:

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

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

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

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

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

Next, we can add the whole numbers and fractions separately:

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

Since the coefficient in front of the variable, (3/2), is greater than 1, we can convert it to a mixed number.

To convert (3/2) to a mixed number, we divide the numerator (3) by the denominator (2). The quotient is the whole number, and the remainder is the numerator of the fraction:

3 ÷ 2 = 1 remainder 1

So, the mixed number form of (3/2) is 1 and 1/2.

Therefore, the simplified expression in mixed number form is:

1 and 1/2x + 1/2.

Answer 4

wrong

Answer 5

Apologies for the mistake. Let's go through the simplification again.

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

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

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

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

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

Next, let's rewrite 1 as a fraction with a common denominator of 2:

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

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

Now, we can add the fractions:

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

= (3/2)x + 1/2

Therefore, the simplified expression in mixed number form is:

1 and 1/2x.