SOLUTION: Solve for R: 1/R = 1/S+1/T Please explain how this is solved very confused how to isolate it Thanks!

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Question 947010: Solve for R:
1/R = 1/S+1/T
Please explain how this is solved very confused how to isolate it
Thanks!
Found 3 solutions by josgarithmetic, Alan3354, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Simple number properties and inverse operations chosen to isolate R.

Simple multiplication by 1:


Simple fraction skills:


If you really want, multiply both sides by R:




Multiply both sides by :

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1/R = (S + T)/ST
R = ST/(S+T)
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Solve for R:
1/R = 1/S+1/T
Please explain how this is solved very confused how to isolate it
Thanks!




ST = RT + RS ------- Multiplying by LCD, RST

ST = R(T + S)

 

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