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......

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

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

Log in to reply

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

Log in to reply

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 \(\frac{7}{9}\).

Log in to reply

Log in to reply

\(0.99999999E = \frac {99999999E}{100000000}\).

Log in to reply

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!

Log in to reply

3/3

Log in to reply

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... .

Log in to reply

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......

Log in to reply