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Mathematics 18 Online
OpenStudy (anonymous):

1

OpenStudy (anonymous):

\[\frac{ 1 }{ a }=\frac{ 1 }{ b }+\frac{ 1 }{ c } \] solve for c

OpenStudy (anonymous):

Subtract 1/b from both sides

Parth (parthkohli):

The best thing you could do to start with is multiply both sides by \(\rm abc\). That way, the fractions get cleared. :D

OpenStudy (anonymous):

so is it \[\frac{ a }{ b }\]

OpenStudy (tkhunny):

Please show how you managed that result. No guessing. Show your actual work.

OpenStudy (unklerhaukus):

\[\frac{ 1 }{ a }=\frac{ 1 }{ b }+\frac{ 1 }{ c }\]\[\frac{ 1 }{ a }-\frac{ 1 }{ b }=\frac{ 1 }{ c }\]\[\frac{ b }{ ab }-\frac{ a }{ ab }=\frac{ 1 }{ c }\]\[\frac{ b - a }{ ab }=\frac{ 1 }{ c }\]\[\cdots\]

OpenStudy (anonymous):

or c = ab/(b-a)

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