16×7+17×8+18×9+…+1100×101=9560695606．

Question

(1)/(6×7)+(1)/(7×8)+(1)/(8×9)+…+(1)/(100×101)=

(95)/(606)

(95)/(606)

．

Answer 1

(1)/(6×7)+(1)/(7×8)+(1)/(8×9)+…+(1)/(100×101)，
=（(1)/(6)−(1)/(7)）+（(1)/(7)-(1)/(8)）+（(1)/(8)-(1)/(9)）+…+（(1)/(100)-(1)/(101)），
=(1)/(6)-(1)/(101)，
=(95)/(606)；
故答案为：(95)/(606)．