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

The solution to (2+3i)/(1+2i) is 8/5-1/5 i

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

simplify

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

\frac{8}{5} - \frac{1}{5} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 2 + 3 i ) ( 1 - 2 i )}{( 1 + 2 i ) ( 1 - 2 i )} : \frac{8 - i}{5}

= \frac{8 - i}{5}

Rewrite in standard complex form:

\frac{8}{5} - \frac{1}{5} i

= \frac{8}{5} - \frac{1}{5} i

10 x^{2} + 17 x + 6

\frac{37}{30}

7 - 48

sin^{2} (θ)

\frac{2 x}{2}