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

 Jul 2, 2022
 #1
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The numerator:
[199 - 1] / 2 + 1==100>>>> n^2==100^2==10,000


The denominator:
[202 - 2] / 2 + 1==101>>>> n(n+1)=101*102==10,302


10,000 / 10,302==5000 / 5151

 Jul 3, 2022

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