I am studying for my MTSE exam 2015.

Can you please express $$0.99999999...............$$ in the form of fraction $$(\frac{p}{q})$$

4 years, 1 month ago

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

- 4 years, 1 month ago

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

- 4 years, 1 month ago

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 $$\frac{7}{9}$$.

- 4 years, 1 month ago

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

- 4 years, 1 month ago

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!

- 3 years, 11 months ago

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

- 4 years, 1 month ago

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......

- 3 years, 12 months ago

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... .

- 4 years ago

3/3

- 4 years, 1 month ago