SOLUTION: We are solving for f. The equation is 1/p + 1/q = 1/f if pg is common deminator then we would multiply each side by pg so q+p=1/f x pg. So would I then divide each side by pg s

Question 25093: We are solving for f. The equation is
1/p + 1/q = 1/f
if pg is common deminator then we would multiply each side by pg so
q+p=1/f x pg. So would I then divide each side by pg
so I would get q+p/pq=1/f. The answer in the book is
f=pq/p+q which is the opposite of what I got. Thanks for your help.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve:
Add the fractions on the left sides. Common denominator is pq.
1) Multiply both sides by pq.
2) Multiply both sides by f.
3) Finally, divide both sides by (p+q)
4)
Notice that you could have just inverted equation 1) to arrive at the same conclusion.
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