What is (6+8i)/(9+3i) ?

The solution to (6+8i)/(9+3i) is 13/15+3/5 i

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simplify (6+8i)/(9+3i)

simplify

\frac{6 + 8 i}{9 + 3 i}

\frac{13}{15} + \frac{3}{5} i

Solution steps

\frac{6 + 8 i}{9 + 3 i}

Multiply by the conjugate

\frac{9 - 3 i}{9 - 3 i}

= \frac{( 6 + 8 i ) ( 9 - 3 i )}{( 9 + 3 i ) ( 9 - 3 i )}

Simplify

\frac{( 6 + 8 i ) ( 9 - 3 i )}{( 9 + 3 i ) ( 9 - 3 i )} : \frac{78 + 54 i}{90}

= \frac{78 + 54 i}{90}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{78}{90} + \frac{54}{90} i

Simplify

\frac{78}{90} + \frac{54}{90} i : \frac{13}{15} + \frac{3}{5} i

= \frac{13}{15} + \frac{3}{5} i

\frac{5}{12} + \frac{1}{16}

\frac{- 12}{- 12}

(x^{2} - 5) - (x^{2} - 25)

(b^{7})^{5}

54 x^{6} y^{11}