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The first volume of mathematics in the first day of junior high school answers the big paper in class.
1/( 1*2)= 1- 1/2

1/(2*3)= 1/2- 1/3

1/(3*4)= 1/3- 1/4

1/(99* 100)= 1/99- 1/ 100

So the original formula above is =1-1100 = 99/100.

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