Question 78944
{{{(2+i)/(1+3i)}}}
Multiply numerator and denominator by complex conjugate:
{{{((2+i)(1-3i))/((1+3i)(1-3i))}}}
{{{(2-5i+3)/(1+9)}}}
{{{(5-5i)/10}}}
{{{(1-i)/2}}}
So you did this right. And yes, you can distribute the denominator if you want to:
{{{1/2-i/2}}} is also correct.
Good Luck,
tutor_paul@yahoo.com