Convert the complex number (1)/(1+i) to a+ib form.

Step 1: Convert the complex number $\frac{1}{1+i}$ to $a+ib$ form.
To do this, multiply the numerator and the denominator by the conjugate of the denominator. The conjugate of $1+i$ is $1-i$.

$$\frac{1}{1+i} = \frac{1}{1+i} \times \frac{1-i}{1-i}$$

Step 2: Perform the multiplication.
The numerator becomes $1 \times (1-i) = 1-i$.
The denominator becomes $(1+i)(1-i)$. Using the difference of squares formula $(a+b)(a-b) = a^2 - b^2$:

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