To be clear, your oiginal equation i:
right? If so, your answer is correct:
but note that it can be simplified:
What answer did they give you?
x+1/3 * 3x+3/2
As I would do with a normal fraction (I was told to treat algebraic fractions as normal ones) I would multiply the numerator and denominator to get;
(x+1)(3x+3)/6
My answer was wrong. Why? And how do you do it? Step by step would be appreciated.
In general you want to get rid of common factors that are in both numerator and denominator. As for factoring - it's best to group like terms when you can. Hence 3(x+1) is a better representation than 3x+3.