What is ((2+3i))/((3+4i)) ?

The solution to ((2+3i))/((3+4i)) is 18/25+1/25 i

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simplify ((2+3i))/((3+4i))

simplify

\frac{( 2 + 3 i )}{( 3 + 4 i )}

\frac{18}{25} + \frac{1}{25} i

Solution steps

\frac{2 + 3 i}{3 + 4 i}

Multiply by the conjugate

\frac{3 - 4 i}{3 - 4 i}

= \frac{( 2 + 3 i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )}

Simplify

\frac{( 2 + 3 i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )} : \frac{18 + i}{25}

= \frac{18 + i}{25}

Rewrite in standard complex form:

\frac{18}{25} + \frac{1}{25} i

= \frac{18}{25} + \frac{1}{25} i

\frac{p ^{- 8}}{7 ^{- 2} q ^{- 9}}

5 x^{2} + x - 6 = 0

\frac{- 2}{3}

x^{2} (x - 1) \leq 0

0. 5^{2} + 0. 5^{2}