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Popular >

simplify (5+i)/(3i)

Solution

simplify

\frac{5 + i}{3 i}

Solution

\frac{1}{3} - \frac{5}{3} i

Solution steps

\frac{5 + i}{3 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 5 + i ) ( - i )}{3 i ( - i )}

Simplify

\frac{( 5 + i ) ( - i )}{3 i ( - i )} : \frac{- 5 i + 1}{3}

= \frac{- 5 i + 1}{3}

Rewrite in standard complex form:

\frac{1}{3} - \frac{5}{3} i

= \frac{1}{3} - \frac{5}{3} i

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Frequently Asked Questions (FAQ)

What is (5+i)/(3i) ?
The solution to (5+i)/(3i) is 1/3-5/3 i