Answer
$\frac{1}{2}$-$\frac{i}{2}$
Work Step by Step
Multply by the conjugate:
$\frac{1}{1+i}$ $\frac{1-i}{1-i}$
$\frac{1-i}{1-(i^{2})}$ = $\frac{1-i}{2}$
$\frac{1}{2}$-$\frac{i}{2}$
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