`1/2 + 5/6 +11/12 + 19/20 + 29/30 + 41/42 + 55/56 + 71/72 + 89/90`
`= 1 - 1/2 + 1 - 1/6 + 1 - 1/20 + 1 - 1/30 + 1 - 1/42 + 1 - 1/56 + 1 - 1/72 + 1 - 1/90`
`= 9 - (1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72+ 1/90)`
`= 9 - (1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + 1/5.6 + 1/6.7 + 1/7.8 + 1/8.9+ 1/9.10)`
`= 9 - (1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9 + 1/9 - 1/10)`
`= 9 - (1 - 1/10)`
`= 9 - ( 10/10 - 1/10 )`
`= 9 - 9/10 = 90/10 - 9/10`
`= 81/10`
