`50 + 50/3 + 25/3 + 20/4 + 10/3 + 100/6.7 + ... + 100/98.99 + 1/99`
`= (50 + 50/3 + 25/3 + 20/4 + 10/3) + ( 100/6.7 + ... + 100/98.99 + 100/99.100)`
`= (100/1.2 + 100/2.3 + 100/3.4 + 100/4.5 + 100/5.6) + 100.(1/6.7 + ... + 1/98.99 + 1/99.100)`
`= 100(1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + 1/5.6) + 100 . (1/6 - 1/7 + ... + 1/98 - 1/99 + 1/99 - 1/100)`
`= 100(1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6) + 100.(1/6 - 1/100)`
`= 100(1 - 1/6) + 100 . 47/300`
`= 100 . 5/6 + 100 . 47/300`
`= 100 . (5/6 + 47/300)`
`= 100 . 99/100`
`= 99`
