Multiplying out Fractions - Help with basic question

Hi all,

So I am going through a workbook and it has this question:

6 ( 1 + h/2 )

This is how I did it:

6 x 1 = 6

6 x h = 6h
6 x 2 = 12

= 6 + 6h/12
= 6 + h/2

But apparently the answer is:
6 + 3h

Can someone tell me where I wen't wrong?
The text book doesn't explain it and I am so confused.

Thanks

Oh I think I figured it out.

6 ( 1 + h/2 )
6 x 1 = 6

Then to multiply fraction we do:
6/1 * h/2
= 6 * h = 6h
1 * 2 = 2
6h / 2 = 3h

= 6 + 3h

I needed to turn 6 into the fraction 6/1

Is that correct?

Yes, in your first attempt, you multiplied the second term within the parentheses not by 6, but by 6/6 = 1.