What is (-4+9i)/(-10i) ?

The solution to (-4+9i)/(-10i) is -9/10-2/5 i

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simplify (-4+9i)/(-10i)

simplify

\frac{- 4 + 9 i}{- 10 i}

- \frac{9}{10} - \frac{2}{5} i

Solution steps

\frac{- 4 + 9 i}{- 10 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( - 4 + 9 i ) ( - i )}{- 10 i ( - i )}

Simplify

\frac{( - 4 + 9 i ) ( - i )}{- 10 i ( - i )} : \frac{4 i + 9}{- 10}

= \frac{4 i + 9}{- 10}

Rewrite in standard complex form:

- \frac{9}{10} - \frac{2}{5} i

= - \frac{9}{10} - \frac{2}{5} i

2 \frac{1}{3} - 1 \frac{3}{4}

- 12 + (- 1)

- 12 + (- 8)

\frac{cos ( 2 x ) + 1}{2}

\frac{3}{27}