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I divided $1$ by $97$ and I got this: $0.0103092783\dots$; I got two digit numbers being multiplied by three at the beginning. I divided $1$ by $997$ and I got a similar thing: $0.001003009027081243731\dots$; I got three-digit numbers being multiplied by three at the beginning. How does this happen? It's something very remarkable, isn't it?

VladInTheTaylor
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    Now I see that you asked the earlier question. You should go back and try to understand the answer you already got, and which you accepted. It observes that $$\frac1{98} = \frac1{100-2} = \frac1{100}\left(1+\frac2{100}+\left(\frac2{100}\right)^2+\cdots\right).$$ And if you replace the $2$ with a $3$... – MJD Nov 30 '14 at 15:27
  • Please quit terrorizing me :( – VladInTheTaylor Nov 30 '14 at 15:33

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