(1-12)(1-13)(1-14)(1-15)(1-16)(1-17)(1-18)(1-19)0.1+0.2+0.3+0.4+0.5+0.6+0.7+0.8+0.9=．

Question

((1-(1)/(2))(1-(1)/(3))(1-(1)/(4))(1-(1)/(5))(1-(1)/(6))(1-(1)/(7))(1-(1)/(8))(1-(1)/(9)))/(0.1+0.2+0.3+0.4+0.5+0.6+0.7+0.8+0.9)=______．

Answer 1

原式=((1)/(2)×(2)/(3)×(3)/(4)×(4)/(5)×(5)/(6)×(6)/(7)×(7)/(8)×(8)/(9))/((0.1+0.9)+(0.2+0.8)+(0.3+0.7)+(0.4+0.6)+0.5)，
=((1)/(9))/(4.5)，
=(2)/(81)．
故答案为：(2)/(81)．