Answer
$\frac{1}{2}-\frac{1}{2}i$
Work Step by Step
$\displaystyle \frac{1}{1+i}=\frac{1}{1+i}*\frac{1-i}{1-i}=\frac{1-i}{1-i^{2}}=\frac{1-i}{1--1}=\frac{1-i}{1+1}=\frac{1-i}{2}=\frac{1}{2}-\frac{1}{2}i$
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