A simple calculation of 2000 / 2000 and 2000 / 2001

A simple calculation of 2000 / 2000 and 2000 / 2001

2000 / 2000 and 2000 / 2001
=2000 ÷ (2000 + 2000 / 2001)
=2000 / 2000 / (1 + 1 / 2001)
=1 ÷ (1 + 1 / 2001)
=1 / 2001 / 2002
=2001 out of 2002