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

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

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

simplify

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

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

Solution steps

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

Multiply by the conjugate

\frac{2 - 4 i}{2 - 4 i}

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

Simplify

\frac{( 4 + 2 i ) ( 2 - 4 i )}{( 2 + 4 i ) ( 2 - 4 i )} : \frac{16 - 12 i}{20}

= \frac{16 - 12 i}{20}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{16}{20} + \frac{- 12}{20} i

Simplify

\frac{16}{20} + \frac{- 12}{20} i : \frac{4}{5} - \frac{3}{5} i

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

1 - 16

13 - 2

14 - 2

\frac{x ^{2} - 2 x - 35}{x + 5}

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