What is (5+i)/(6+5i) ?

The solution to (5+i)/(6+5i) is 35/61-19/61 i

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simplify (5+i)/(6+5i)

simplify

\frac{5 + i}{6 + 5 i}

\frac{35}{61} - \frac{19}{61} i

Solution steps

\frac{5 + i}{6 + 5 i}

Multiply by the conjugate

\frac{6 - 5 i}{6 - 5 i}

= \frac{( 5 + i ) ( 6 - 5 i )}{( 6 + 5 i ) ( 6 - 5 i )}

Simplify

\frac{( 5 + i ) ( 6 - 5 i )}{( 6 + 5 i ) ( 6 - 5 i )} : \frac{35 - 19 i}{61}

= \frac{35 - 19 i}{61}

Rewrite in standard complex form:

\frac{35}{61} - \frac{19}{61} i

= \frac{35}{61} - \frac{19}{61} i

\frac{16}{225}

4 n - 1 - 6 n + 8 - 8 n + 15

\frac{2}{1 + 2}

(x - 3) (4 x + 9)

- 2 27 x^{5} - x^{2} 3 x