What is (1+6i)/(-3i) ?

The solution to (1+6i)/(-3i) is -2+1/3 i

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simplify (1+6i)/(-3i)

simplify

\frac{1 + 6 i}{- 3 i}

- 2 + \frac{1}{3} i

Solution steps

\frac{1 + 6 i}{- 3 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 1 + 6 i ) ( - i )}{- 3 i ( - i )}

Simplify

\frac{( 1 + 6 i ) ( - i )}{- 3 i ( - i )} : \frac{- i + 6}{- 3}

= \frac{- i + 6}{- 3}

Rewrite in standard complex form:

- 2 + \frac{1}{3} i

= - 2 + \frac{1}{3} i

12 + 12

\frac{1}{7} \cdot \frac{4}{5}

- (3^{2})

3 \cdot \frac{3}{10}

\frac{5}{6 ( x + \frac{1}{2} + 4 )}