maths i hate algebra!!!

[befuzzled!!]

i have a problem i have to rearrage the formula to make P the subject but it isn't working!!! someone please answer this question and show the workings ahhhh!
A 1
-- = ----
P 1+P

A over P equals 1 over 1+P

PLEASE BEFORE I TEAR MY HAIR OUT!!!!

[sddsddean]

Think I've got this right!!

a/p = 1/(1+p)
multiply by p and (1+p)

=> a + ap =p

take p from both sides

=> a +ap - p =0

div by p

=> a/p + a -1 = 0

add 1 and take a from both sides

=> a/p =1 - a

multiply by p

=> a = (1-a)p

div by 1-a

=> a/(1-a) = p

Can someone please check my workings!!!

[befuzzled!!]

i'm gonna ask my maths teacher he'll explain

[derrynoose]

An excellent answer,sddsddean! Every step you took is very clearly explained.
If I had been doing it I would have cross-multiplied initially.
a/p=1/1+p becomes
a+ap=p
ap-p =-a
Take out the common factor 'p'
p(a-1)=-a
Divide by (a-1)
p= -a/(a-1) which is equivalent to p= a/1-a.