What is (2+3i)/(4+5i) ?

The solution to (2+3i)/(4+5i) is 23/41+2/41 i

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simplify (2+3i)/(4+5i)

simplify

\frac{2 + 3 i}{4 + 5 i}

\frac{23}{41} + \frac{2}{41} i

Solution steps

\frac{2 + 3 i}{4 + 5 i}

Multiply by the conjugate

\frac{4 - 5 i}{4 - 5 i}

= \frac{( 2 + 3 i ) ( 4 - 5 i )}{( 4 + 5 i ) ( 4 - 5 i )}

Simplify

\frac{( 2 + 3 i ) ( 4 - 5 i )}{( 4 + 5 i ) ( 4 - 5 i )} : \frac{23 + 2 i}{41}

= \frac{23 + 2 i}{41}

Rewrite in standard complex form:

\frac{23}{41} + \frac{2}{41} i

= \frac{23}{41} + \frac{2}{41} i

75 x - 27 x

\frac{- 2}{5} + \frac{3}{8}

4 x^{2} - 27 x + 167 - \frac{996}{x - 6}

4 x^{2} - 27 x + 167 - \frac{996}{x + 6}

(3 x^{- 2} y^{3})^{- 4}