SOLUTION: please help me solve this equation: 1/a + 1/b = 1/c, solve for c

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Question 26507: please help me solve this equation: 1/a + 1/b = 1/c, solve for c
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fa+%2B+1%2Fb+=+1%2Fc

multiply first fraction by 1, written as b/b.
multiply second fraction by 1, written as a/a

we then get:
%281%2Fa%29%28b%2Fb%29+%2B+%281%2Fb%29%28a%2Fa%29+=+1%2Fc
%28b%2F%28ab%29%29+%2B+%28a%2F%28ab%29%29+=+1%2Fc
%28%28a%2Bb%29%2F%28ab%29%29+=+1%2Fc

and now, invert or cross-multiply, however you like to think of it:
%28%28ab%29%2F%28a%2Bb%29%29+=+c

jon.