`A = 1/1.6+1/6.11+1/11.16+1/16.21+...+ 1/496.501`
` = 1/5. (5/1.6+5/6.11+5/11.16+5/16.21+...+ 5/496.501)`
` = 1/5 . (1-1/6 +1/6 - 1/11 +1/11-1/16+1/16-1/21+...+1/496-1/501)`
` = 1/5. (1-1/501)`
` = 1/5 . 500/501`
` = 100/501`
`B = 1/1.2+1/2.3+1/3.4+1/4.5+...+ 1/99.100`
` = 1-1/2 + 1/2-1/3+1/3-1/4+1/4-1/5+..+1/99-1/100`
` = 1 - 1/100`
` = 99/100`
`C= 8/1.5+8/5.9+8/9.13+...+ 8/41.45`
` = 2.(4/1.5+4/5.9+4/9.13+...+ 4/41.45)`
`= 2.(1-1/5 + 1/5-1/9 + 1/9-1/13 + ... + 1/41-1/45)`
` = 2.(1-1/45)`
` = 2. 44/45`
` = 88/45`