解答题（要求写出 文字说明，证明过程或演算步骤）

1/2 + 5/6 + 11/12 + 19/20 + 29/30 + … + 9701/9702 + 9899/9900

= (1 - 1/2) + (1 - 1/6) + (1 - 1/12) + (1 - 1/20) + (1 - 1/30) + … + (1 - 1/9702) + (1 - 1/9900)

= [1 - 1/(1*2)] + [1 - 1/(2*3)] + [1 - 1/(3*4)] + [1 - 1/(4*5)] + [1 - 1/(5*6)] + … + [1 - 1/(98*99)] + (1 - 1/(99*100)]

= 99 - [1/(1*2) + 1/(2*3) + 1/(3*4) + 1/(4*5) + 1/(5*6) + … + 1/(98*99) + 1/(99*100)]

= 99 - [ 1/1 - 1/100]

= 99 - 1 + 1/100

= 98 + 1/100

= 98又1/100