SOLUTION: solve for c {{{(1/a) + (1/b) = (1/c)}}}

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Question 211596: solve for c
%281%2Fa%29+%2B+%281%2Fb%29+=+%281%2Fc%29
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2Fa%29+%2B+%281%2Fb%29+=+%281%2Fc%29

Multiply through by %28LCD%2F1%29 which is %28a%2Ab%2Ac%2F1%29





b%2Ac+%2B+a%2Ac+=+a%2Ab

Factor out c on the left:

c%2A%28b%2Ba%29=a%2Ab

Divide both sides by b%2Ba

c%2A%28b%2Ba%29%2F%28b%2Ba%29=a%2Ab%2F%28b%2Ba%29

c%2A%28cross%28b%2Ba%29%29%2F%28cross%28b%2Ba%29%29=a%2Ab%2F%28b%2Ba%29

c=%28ab%29%2F%28b%2Ba%29

Edwin