Answer
$\frac{1}{2}-\frac{1}{2}i$
Work Step by Step
Given: $\displaystyle \frac{1}{1+i}$
Multiply the numerator and denominator by the conjugate of the denominator, as follows:
$=\frac{1}{1+i}\times\frac{1-i}{1-i}$
Since, $i^2=-1$ and $i=\sqrt{-1}$
Thus,
$=\frac{1-i}{1-(-1)}$
$=\frac{1-i}{2}$
$=\frac{1}{2}-\frac{1}{2}i$
