一道数学题，请大家帮我解决一下。

Question

计算： 1 1 1 1 1
—— 加——加——加``````加———加————
3乘4 4乘5 5乘6 98乘99 99乘100
=
=

Answer 1

1/3×4+1/4×5+……+1/98×99+1/99×100
=(1/3-1/4)+(1/4-1/5)+......+(1/98-1/99)+(1/99-1/100)
=1/3-1/4+1/4-1/5+......+1/98-1/99+1/99-1/100
=1/3-1/100
=97/300

Answer 2

1/(3×4)+1/（4×5）+1/（5×6）+……+1/（98×99）+1/（99×100）
＝1/3-1/4+1/4-1/5+1/5-1/6+……+1/98-1/99+1/99-1/100
＝1/3-1/100
＝97/300

Answer 3

1/3×4+1/4×5+1/5×6+……+1/99×100
=1/3-1/4+1/4-1/5+1/5-1/6+……+1/99-1/100
=1/3-1/100
=97/300

Answer 4

1/3×4+1/4×5+1/5×6+……+1/99×100
=1/3-1/4+1/4-1/5+1/5-1/6+……+1/99-1/100
=1/3-1/100
=97/300本回答被提问者采纳