SOLUTION: How to solve for S? when: 1/R = 1/S + 1/T S= ? please explain thank you!

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Question 904529: How to solve for S?
when:
1/R = 1/S + 1/T
S= ?
please explain thank you!
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2FR+=+1%2FS+%2B+1%2FT
Move all non-S terms to one side.
1%2FS=+1%2FR+-+1%2FT
Take the reciprocal of both sides.
S=1%2F%281%2FR-1%2FT%29
Multiply numerator and denominator of the right hand side by RT.
S=RT%2F%28RT%281%2FR-1%2FT%29%29
highlight_green%28S=RT%2F%28T-R%29%29

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
1/S = 1/R - 1/T
1/S = (T-R)/RT
S = RT/(T-R)