# 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 A Former Brilliant Member
7 years ago

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.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
• Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$ ... $$ or $ ... $ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

## Comments

Sort by:

Top Newest

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

- 7 years ago

Log in to reply

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

- 7 years 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 $\frac{7}{9}$.

Log in to reply

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

- 7 years ago

Log in to reply

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

- 7 years 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!

- 6 years, 10 months ago

Log in to reply

3/3

- 7 years 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... .

- 6 years, 11 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......

- 6 years, 10 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...