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I'm just guessing, but I would say $\frac{11}{11}=\frac{10}{11} + \frac{1}{11} = 0.\overline{90} + 0.\overline{09} = 0.\overline{99}$.

Mathematically, I don't see how this is different from any other fraction $\frac{p}{q}$ where $p=q$, but I think this is more a question of "aesthetics". Please tell me why or why not this is correct, I'm here to learn!

let us say that E= 0.99999999.......
so, 10E = 9.99999999.........
now, 10E - E = 9.9999999999...... - 0.9999999999......
hence, 9E=9
E= 1
this means that any fraction in the form p/q with p = q would be equal to 0.9999999......

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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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## Comments

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TopNewestHow do you not know this? You are a level 5 in everything!!!!!

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Yes, how do you not know this? @ashwin korade

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It is not the question you are thinking about. There are unlimited 9s and you have to present it in the form of fraction.

Example:- If there is $0.7777777777......$, it would be represented as $\frac{7}{9}$.

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$\frac {1}{1}$, if you let $\frac {1}{\infty}$ equal zero.

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$0.99999999E = \frac {99999999E}{100000000}$.

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I'm just guessing, but I would say $\frac{11}{11}=\frac{10}{11} + \frac{1}{11} = 0.\overline{90} + 0.\overline{09} = 0.\overline{99}$.

Mathematically, I don't see how this is different from any other fraction $\frac{p}{q}$ where $p=q$, but I think this is more a question of "aesthetics". Please tell me why or why not this is correct, I'm here to learn!

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3/3

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As far as I know, 0,99999999... is equal to 0,(9)= (9-0) / 9 = 1 , so every fraction p/q with p=q expresses 0,9999... .

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let us say that E= 0.99999999....... so, 10E = 9.99999999......... now, 10E - E = 9.9999999999...... - 0.9999999999...... hence, 9E=9 E= 1 this means that any fraction in the form p/q with p = q would be equal to 0.9999999......

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