Tính `A= 50+ 50/3+25/3+20/4+10/3+100/6.7+…+100/98.99+1/99`.

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1. Đáp án: `A = 99`

   Giải thích các bước giải:

   `A = 50 + 50/3 + 25/3 + 20/4 + 20/4 + 10/3 + 100/(6.7) + ….. + 100/(98.99) + 1/99`

   `A = 100/(1.2) + 100/(2.3) + 1/(3.4) + 1/(4.5) + ….. + 100/(98.99) + 100/(99.100)`

   `A = 100 . (1 – 1/2 + 1/2 – 1/3 + 1/3 – 1/4 + 1/4 + …… + 1/98 – 1/99 + 1/99 – 1/100)`

   `A = 100 . (1 – 1/100)`

   `A = 100 . 99/100`

   `A = 9900/100`

   `A = 99`

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2. = `100/1.2` `+` `100/2.3` `+` `100/3.4` `+` `100/4.5` `+` `100/5.6` `+` `100/6.7` `+` … `+` `100/98.99` `+` `100/99.100`

   `=` `100` `.` `(` `1` `-` `1/2` `+` `1/2` `-` `1/3` `+` `1/3` `-` `1/4` `+` `…` `+` `1/99` `-` `1/100` )

   `=` `100` `.` `(1-1/100)`

   `=` `100` `-` `1` 

   `=` `99`

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