What is (3-10i)/(5i) ?

The solution to (3-10i)/(5i) is -2-3/5 i

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simplify (3-10i)/(5i)

simplify

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

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

Solution steps

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

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 3 - 10 i ) ( - i )}{5 i ( - i )}

Simplify

\frac{( 3 - 10 i ) ( - i )}{5 i ( - i )} : \frac{- 3 i - 10}{5}

= \frac{- 3 i - 10}{5}

Rewrite in standard complex form:

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

= - 2 - \frac{3}{5} i

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