1÷(1+1/2)÷(1+1/3)÷(1+1/4)÷.÷(1+1/18)÷(1+1/19)÷(1+1/20)
=1÷(1+1/2)÷(1+1/3)÷(1+1/4)÷.÷(1+1/19)×(20/21)
=1÷(1+1/2)÷(1+1/3)÷(1+1/4)÷.×(19/20)×(20/21)
=1×(2/3)×(3/4)×(4/5)×.×(19/20)×(20/21)
=1×2/21
=2/21
1÷(1+1/2)÷(1+1/3)÷(1+1/4)÷.÷(1+1/18)÷(1+1/19)÷(1+1/20)
=1÷(1+1/2)÷(1+1/3)÷(1+1/4)÷.÷(1+1/19)×(20/21)
=1÷(1+1/2)÷(1+1/3)÷(1+1/4)÷.×(19/20)×(20/21)
=1×(2/3)×(3/4)×(4/5)×.×(19/20)×(20/21)
=1×2/21
=2/21