1997 minus half of it, and then minus the remaining one-third, until minus the remaining 1978, what's the final number? Reason + process = best answer

1997 minus half of it, and then minus the remaining one-third, until minus the remaining 1978, what's the final number? Reason + process = best answer

1997×(1-1/2)×(1-1/3)×…… ×(1-1/1978)
=1997×1/2×2/3×…… ×1977/1978
=1997×1/1978
=1997/1978