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

The solution to (4+3i)/(3+4i) is 24/25-7/25 i

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

simplify

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

\frac{24}{25} - \frac{7}{25} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 4 + 3 i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )} : \frac{24 - 7 i}{25}

= \frac{24 - 7 i}{25}

Rewrite in standard complex form:

\frac{24}{25} - \frac{7}{25} i

= \frac{24}{25} - \frac{7}{25} i

16 + 4 d

- \frac{4}{5} \cdot 10

\frac{3 + 5 i}{10 + 3 i}

∣ 8 - 6 i ∣

\frac{50}{300}