simplify (2+i)/(3i)

Solution

simplify

\frac{2 + i}{3 i}

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

Solution steps

\frac{2 + i}{3 i}

Multiply by the conjugate

\frac{- i}{- i}

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

Simplify

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

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

Rewrite in standard complex form:

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

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

(2 x^{2} - x + 1) (x + 4)

(4 y^{- 2}) (8 y^{4})

\frac{1}{6} (\frac{3}{5} x + 18)

3150 + 36

3 27 m^{4} n