1991 minus 1 / 2, and then minus the remaining 1 / 4. And so on, and finally minus the remaining 1 / 1991. So, what's the remaining number?

1991 minus 1 / 2, and then minus the remaining 1 / 4. And so on, and finally minus the remaining 1 / 1991. So, what's the remaining number?

1991*(1-1/2)*(1-1/3)*(1-1/4)*.*(1-1/1991)
=1991*(1/2*2/3*3/4*4/5*.*1989/1990*1990/1991)
=1991*1/1991
=1