# Help with rearranging equation to get real and imaginary parts..

I know this is so simple but my algebra is totally failing me.. I have the equation 1/1+2i and I want to extract the real and imaginary parts so I have it in the form..

Re+Im could someone just show me the algebra steps for doing this please.. Thanks

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$\dfrac{1}{1+2i} = \dfrac{1-2i}{(1+2i)(1-2i)} = \ldots$. – njguliyev Oct 31 '13 at 11:00

Multiply by the conjugate: $$\frac{1}{1+2i}=\frac{1}{1+2i}\cdot \frac{1-2i}{1-2i}=\frac{1-2i}{5}.$$
But you didn't multiply by the conjugate but with $1$ instead ... Just nitpicking – Michael Hoppe Oct 31 '13 at 11:51