One by half plus two by one-third plus three by one-quarter. Plus two thousand four by two thousand five is equal to?

One by half plus two by one-third plus three by one-quarter. Plus two thousand four by two thousand five is equal to?

One by half plus two by three plus three by four. Plus two thousand four by two thousand five
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2004-1/2005)
=1-1 / 2005)
=2004/2005