What is ((1+2i))/((2+3i)) ?

The solution to ((1+2i))/((2+3i)) is 8/13+1/13 i

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simplify ((1+2i))/((2+3i))

simplify

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

\frac{8}{13} + \frac{1}{13} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 1 + 2 i ) ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )} : \frac{8 + i}{13}

= \frac{8 + i}{13}

Rewrite in standard complex form:

\frac{8}{13} + \frac{1}{13} i

= \frac{8}{13} + \frac{1}{13} i

2 (x + 5) (x - 6) = 0

mn - mk + x k - x n

(\frac{4}{7} m)^{2} (49 m) (17 p) (\frac{1}{34} p^{5})

4 n - 1 = 6 n + 8 - 8 n + 15

6 - 2 j = - 3 j