I am studying for my MTSE exam 2015.

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

I am studying for my MTSE exam 2015.

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

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TopNewestHow do you not know this? You are a level 5 in everything!!!!! – Krishna Ar · 2 years, 4 months ago

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@ashwin korade – Sharky Kesa · 2 years, 4 months ago

Yes, how do you not know this?Log in to reply

Example:- If there is \(0.7777777777......\), it would be represented as \(\frac{7}{9}\). – Ashwin Korade · 2 years, 4 months ago

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– Sharky Kesa · 2 years, 4 months ago

\(\frac {1}{1}\), if you let \(\frac {1}{\infty}\) equal zero.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! – Nicolas Bryenton · 2 years, 2 months ago

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\(0.99999999E = \frac {99999999E}{100000000}\). – Sharky Kesa · 2 years, 4 months ago

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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...... – Sriram Venkatesan · 2 years, 2 months ago

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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... . – Adrian Stefan · 2 years, 4 months ago

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3/3 – Radha Krishnan B · 2 years, 4 months ago

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