What is (1-2i)/(3-2i) ?

The solution to (1-2i)/(3-2i) is 7/13-4/13 i

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simplify (1-2i)/(3-2i)

simplify

\frac{1 - 2 i}{3 - 2 i}

\frac{7}{13} - \frac{4}{13} i

Solution steps

\frac{1 - 2 i}{3 - 2 i}

Multiply by the conjugate

\frac{3 + 2 i}{3 + 2 i}

= \frac{( 1 - 2 i ) ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )}

Simplify

\frac{( 1 - 2 i ) ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )} : \frac{7 - 4 i}{13}

= \frac{7 - 4 i}{13}

Rewrite in standard complex form:

\frac{7}{13} - \frac{4}{13} i

= \frac{7}{13} - \frac{4}{13} i

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