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Popular >

simplify (1+3i)/(2i)

Solution

simplify

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

Solution

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

Solution steps

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

Multiply by the conjugate

\frac{- i}{- i}

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

Simplify

\frac{( 1 + 3 i ) ( - i )}{2 i ( - i )} : \frac{- i + 3}{2}

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

Rewrite in standard complex form:

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

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

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Frequently Asked Questions (FAQ)

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