小学六年级数学2/(1/3)+2/(2/3)+2/(3*4)+······+2/(2008*2009)=?
问题描述：
小学六年级数学2/(1/3)+2/(2/3)+2/(3*4)+······+2/(2008*2009)=?
抱歉，有些错误。2/(1*2)+2/(2*3)+2/(3*4)+······+2/(2008*2009)=？
答
2/(1*2)+2/(2*3)+2/(3*4)+······+2/(2008*2009)
=2*(1-1/2+1/2-1/3+1/3-1/4.1/2008-1/2009)
=2*(1-1/2009)
=2*2008/2009
=4016/2009