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Popular >

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

Solution

simplify

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

Solution

- \frac{1}{9} + \frac{4}{9} i

Solution steps

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

Multiply by the conjugate

\frac{- i}{- i}

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

Simplify

\frac{( 4 + i ) ( - i )}{- 9 i ( - i )} : \frac{- 4 i + 1}{- 9}

= \frac{- 4 i + 1}{- 9}

Rewrite in standard complex form:

- \frac{1}{9} + \frac{4}{9} i

= - \frac{1}{9} + \frac{4}{9} i

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Frequently Asked Questions (FAQ)

What is (4+i)/(-9i) ?
The solution to (4+i)/(-9i) is -1/9+4/9 i