SOLUTION: Solve for p 1/p+1/q=1/f I came up with the lcm:fpq so now it turns into this: fq/fpq+fp/fpq=pq/fpq But I don't know where to go from there. I saw someone else just do this: fq

Algebra ->  Functions -> SOLUTION: Solve for p 1/p+1/q=1/f I came up with the lcm:fpq so now it turns into this: fq/fpq+fp/fpq=pq/fpq But I don't know where to go from there. I saw someone else just do this: fq      Log On


   



Question 265079: Solve for p
1/p+1/q=1/f
I came up with the lcm:fpq so now it turns into this:
fq/fpq+fp/fpq=pq/fpq
But I don't know where to go from there. I saw someone else just do this:
fq+fp=pq but it seemed confusing because I don't know what they did with the denominator

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for p
1%2Fp%2B1%2Fq=1%2Ff
the common denominator is pqf, multiply each term by pqf, this gets rid of the denominators, results:
qf + pf = pq
:
Subtract qf from both sides
pf = pq - qf
:
subtract pq from both sides
pf - pq = -qf
:
Factor out p on the right
p(f-q) = -qf
:
Divide both sides by (f-q), results
p = -%28qf%29%2F%28f-q%29
:
Did this make sense to you now?