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

The solution to (3-4i)/(5+3i) is 3/34-29/34 i

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

simplify

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

\frac{3}{34} - \frac{29}{34} i

Solution steps

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

Multiply by the conjugate

\frac{5 - 3 i}{5 - 3 i}

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

Simplify

\frac{( 3 - 4 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )} : \frac{3 - 29 i}{34}

= \frac{3 - 29 i}{34}

Rewrite in standard complex form:

\frac{3}{34} - \frac{29}{34} i

= \frac{3}{34} - \frac{29}{34} i

8 (r + 1)

\frac{x ^{2} - 9}{x ^{2} + 3 x}

\frac{16}{20}

\frac{16}{64}

\frac{1}{5} \div \frac{3}{4}