T=1/2+5/6+11/12+...+89/90+109/110+10/11
T= (1 -1/2) + ( 1 - 1/6) + (1-1/12) + (1-1/20)+(1-1/30)+... + (1 - 1/90) + (1- 1/110) + (10/11)
T= 1x10 –(1/2+1/6+1/12+1/20+……..+1/90+1/110)+10/11
T=10 – (1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/9-1/10+1/10-1/11)+ 10/11
T= 10 – (1-1/11)+10/11 = 10-10/11+10/11
T=10