What is (3+i)/(2+3i) ?

The solution to (3+i)/(2+3i) is 9/13-7/13 i

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

simplify

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

\frac{9}{13} - \frac{7}{13} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 3 + i ) ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )} : \frac{9 - 7 i}{13}

= \frac{9 - 7 i}{13}

Rewrite in standard complex form:

\frac{9}{13} - \frac{7}{13} i

= \frac{9}{13} - \frac{7}{13} i

\frac{x ^{3} - 1}{2 x - 2}

(2 a + 7) (7 a - 4)

(\frac{x ^{- 4} y ^{5}}{5})^{- 3}

\frac{5}{7} \cdot \frac{2}{3}