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Simplify (1+3+5+...+199)/(2+4+6+...+198+200+202).

 Apr 30, 2022
 #1
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Recognize that the first series has 100 terms and the second one has 101 terms.

The sum of the first is 10,000. (If you don't know how I got that, here's a link to the formulas of series.)

The sum of the second is 10,302.

Reduce it by hand or with a calculator and you should get 5000/5151. 

 Apr 30, 2022

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