Question

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

Answer 1

wrong

Answer 2

To simplify the expression, let's first distribute the fractions:

1/2(r+4) + 1/4(4r-2) = (1/2*r + 1/2*4) + (1/4*4r - 1/4*2)

Simplifying further:

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

Now, let's convert the improper fraction 3/2r into mixed number form.

3/2r = 1 + 1/2r

So the final answer in mixed number form is: 1 + 1/2r

Answer 3

Apologies for the earlier mistake. Let's correct it.

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

First, let's distribute the fractions:

= 1/2 * r + 1/2 * 4 + 1/4 * 4r - 1/4 * 2

= 1/2r + 2/2 + 1r - 1/2

Now, let's simplify:

= 1/2r + 1 + 1r - 1/2

Combining like terms:

= 1r + 1/2r + 1 - 1/2

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

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

= (2r + 1)/(2r)

The final answer in mixed number form is 2r + 1 over 2r.