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

The solution to ((2+3i))/((1+i)) is 5/2+1/2 i

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

simplify

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

\frac{5}{2} + \frac{1}{2} i

Solution steps

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

Multiply by the conjugate

\frac{1 - i}{1 - i}

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

Simplify

\frac{( 2 + 3 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{5 + i}{2}

= \frac{5 + i}{2}

Rewrite in standard complex form:

\frac{5}{2} + \frac{1}{2} i

= \frac{5}{2} + \frac{1}{2} i

1015

\frac{5 ab + a}{5 ab}

- 50 \frac{1}{2} + (- 12.3)

\frac{36}{- 12}

\frac{- x}{2 x}