2008/(2008+2008/2009)+1/2010简便运算

问题描述:

2008/(2008+2008/2009)+1/2010简便运算

=1/(1+1/2009)+1/2010
=2009/(2009+1)+1/2010
=2009/2010+1/2010
=1

2008/(2008+2008/2009)+1/2010
=2008/[2008×(1+1/2009)]+1/2010
=1/(1+1/2009)+1/2010
=1/(2010/2009)+1/2010
=2009/2010+1/2010
=2010/2010
=1

2009(2009乘3)