Đáp án: + Giải thích các bước giải:
`Q = 11/12 + 19/20 + 29/30 + 41/42 + 55/56 + 71/72 + 89/90 + 109/110`
`= 1 - 1/12 + 1 - 1/20 + 1 - 1/30 + 1 - 1/42 + 1 - 1/56 + 1 - 1/72 + 1 - 1/90 + 1 - 1/110`
`= (1 + 1 + 1 + ... + 1 + 1) - ( 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90 + 1/110 )`
`= 8 - ( 1/3.4 + 1/4.5 + 1/5.6 + 1/6.7 + 1/7.8 + 1/8.9 + 1/9.10 + 1/10.11 )`
`= 8 - (1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 + 1/7 - 1/8 + 1/8 - 1/9 + 1/9 - 1/10 + 1/10 - 1/11 )`
`= 8 - (1/3 - 1/11)`
`= 8 - 8/33`
`= 264/33 - 8/33`
`= 256/33`