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Popular >

simplify (1+i)/(5*i)

Solution

simplify

\frac{1 + i}{5 \cdot i}

Solution

\frac{1}{5} - \frac{1}{5} i

Solution steps

\frac{1 + i}{5 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 1 + i ) ( - i )}{5 i ( - i )}

Simplify

\frac{( 1 + i ) ( - i )}{5 i ( - i )} : \frac{- i + 1}{5}

= \frac{- i + 1}{5}

Rewrite in standard complex form:

\frac{1}{5} - \frac{1}{5} i

= \frac{1}{5} - \frac{1}{5} i

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Frequently Asked Questions (FAQ)

What is (1+i)/(5*i) ?
The solution to (1+i)/(5*i) is 1/5-1/5 i