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Popular >

simplify (2+4i)/(5i)

Solution

simplify

\frac{2 + 4 i}{5 i}

Solution

\frac{4}{5} - \frac{2}{5} i

Solution steps

\frac{2 + 4 i}{5 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 2 + 4 i ) ( - i )}{5 i ( - i )}

Simplify

\frac{( 2 + 4 i ) ( - i )}{5 i ( - i )} : \frac{- 2 i + 4}{5}

= \frac{- 2 i + 4}{5}

Rewrite in standard complex form:

\frac{4}{5} - \frac{2}{5} i

= \frac{4}{5} - \frac{2}{5} i

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Frequently Asked Questions (FAQ)

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