What is (4+9i)/(12i) ?

The solution to (4+9i)/(12i) is 3/4-1/3 i

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simplify (4+9i)/(12i)

simplify

\frac{4 + 9 i}{12 i}

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

Solution steps

\frac{4 + 9 i}{12 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 4 + 9 i ) ( - i )}{12 i ( - i )}

Simplify

\frac{( 4 + 9 i ) ( - i )}{12 i ( - i )} : \frac{- 4 i + 9}{12}

= \frac{- 4 i + 9}{12}

Rewrite in standard complex form:

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

= \frac{3}{4} - \frac{1}{3} i

\frac{1}{x} + \frac{1 - x}{x ^{2} + 2 x} - \frac{2}{x + 1}

\frac{1}{4} - 9 a^{2}

(5 x y^{4})^{4}

3 \cdot (- 8)

3 (2 x)^{2}