Simplifying Algebraic Equations

[ToxicPaddy]

Hi
Well, for homework I have to simplify 8 algebraic equations. I hate this part of maths sooo much I can't understand it!!! The first question is -

6x
--------
9x - 3y

^^^ Thats a fraction btw :P

Anyway, is the answer -

3x
---
3y?

I am probably wrong but I can't understand it and will +rep anyone who can explain it to me! Please!!

Edited by Catzsy (Forum Super Moderator): Thread closed as bumped by spambot

[5,5]

i think the answer is
2/3x-3y

i could be wrong but idk

[Jesus-Egg]

Factorise the bottom, and you get 6x / 3(3x - y), then just divide the 6 by the 3, and you get 2x / (3x - y)

[camera]

yeah wot Jesus-Egg said.

[ToxicPaddy]

Thanks very much for your help :D +Rep

[Soka]

what you need to remember is, you can't cancel when the parts are adding and subtracting, you can cancel algebraic fractions when the parts are being mupltiplied.. which is why you take out factors

you can do jesuse's method or........

take out (HCF) factor of 3 in each

6x / 9x - 3y

= 3(2x) / 3(3x - y)
and cancel threes
= 2x / 3x - y

both method give same answer