1. Jravenv

2. anonymous

what is the least common multiply of 3, 4 and 6?

3. Jravenv

12

4. anonymous

ok good, so at the moment (we might can reduce later) the common denominator will be $$12y$$

5. Jravenv

Okay, whats next?

6. anonymous

you have to build up each fraction just like with numbers $\frac{x+1}{3y}=\frac{4(x+1)}{4\times 3y}=\frac{4x+4}{12y}$ for the first one

7. anonymous

can you build up $\frac{x-2}{4y}$so the denominator will be $$12y$$?

8. Jravenv

so times three

9. anonymous

yes, top and bottom, and don't forget the distributive law

10. Jravenv

3x-6/12y

11. anonymous

right

12. anonymous

repeat with $\frac{x+3}{6y}$

13. Jravenv

2x+6/12y

14. anonymous

ok good, now we are ready to add and subtract the denomiator will be $$12y$$ and the numerator will be $4x+4+3x-6-(2x+6)$ notice the last parentheses, you still have to distribute the minus sing, then combine like terms

15. anonymous

let me know when you get $$5x-8$$

16. anonymous

did you get it ?

17. Jravenv

Yes I did.

18. anonymous

happy now?

19. Jravenv

Yes, thank you, you make this stuff seem easy haha

20. anonymous

it is all easy when you know what you are doing when you do not, it is not since you were not born knowing this (i assume) you learn as you do it

21. Jravenv

makes sense.