Question

分数的简便运算：(1+1/51)+(3+3/51)+(5+5/51)+(7+7/51)+.+(97+97/51)+(99

Answer 1

(1+1/51)+(3+3/51)+(5+5/51)+(7+7/51)+.+(97+97/51)+(99+99/51)

=(1+3+5+..+99)+(1+3+..+99)/51

=52/51(1+3+..+99)

=52/51×(1+99)×50/2

=52/51×2500

=130000/51

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