How to Solve Algebraic Equations with Fractions: (1/n) = (n/100)

[939]

Algebraically, how is this done? I can do it no problem if there is no fraction, but have problems when there is.

(1/n) = (n/100)

 

[LCKurtz]

Algebraically, how is this done? I can do it no problem if there is no fraction, but have problems when there is.

(1/n) = (n/100)

$n^2=100$, so $n=\pm 10$.

 

[SteamKing]

Multiply both sides by '100*n'.