Waste less time on Facebook — follow Brilliant.
×

PLEASE HELP!

I am studying for my MTSE exam 2015.

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

Note by Ashwin Korade
3 years, 4 months ago

No vote yet
1 vote

Comments

Sort by:

Top Newest

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

Krishna Ar - 3 years, 4 months ago

Log in to reply

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

Sharky Kesa - 3 years, 4 months ago

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

Ashwin Korade - 3 years, 4 months ago

Log in to reply

@Ashwin Korade \(\frac {1}{1}\), if you let \(\frac {1}{\infty}\) equal zero.

Sharky Kesa - 3 years, 4 months ago

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 - 3 years, 2 months ago

Log in to reply

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

Sharky Kesa - 3 years, 4 months ago

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......

Sriram Venkatesan - 3 years, 2 months ago

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... .

Adrian Stefan - 3 years, 3 months ago

Log in to reply

3/3

Radha Krishnan B - 3 years, 4 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...