1/1*2+1/2*3+1/3*4+......+1/99*100+1/100*101
= 1 - 1/2 + 1/2 - 1/3 + ... + 1/99 - 100 + 1/00 - 1/101
= 1 - 1/101
= 100/101
3/5*8+3/8*11+3/11*14+.........3/605*608+3/608*611
= 1/5 - 1/8 + 1/8 - 1/11 + 1/11 - ... + 1/608 - 1/611
= 1/5 - 1/611
= 606/3055