How can i find 0.13r(as in the 3 recurring) as a fraction

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Homework Help Overview

The discussion revolves around converting the repeating decimal 0.13r (where 3 is recurring) into a fraction. Participants explore various methods and approaches to understand the conversion process.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss breaking down the decimal into simpler parts, such as separating 0.1 and 0.03333r. There are attempts to apply known methods for converting repeating decimals to fractions, with some referencing external resources like Wikipedia.

Discussion Status

The conversation includes various attempts to find the correct fraction representation, with some participants expressing confusion and frustration. There is ongoing dialogue about the correct approach to adding fractions and understanding the relationship between repeating decimals and their fractional forms.

Contextual Notes

Some participants express stress over the problem, indicating a lack of clarity on how to proceed. There are mentions of specific fractions being proposed and questioned, but no consensus has been reached on the final answer.

  • #31
harlatt said:
is it 1/30?
Spot on. Now, RE one of my previous posts
Hootenanny said:
0.1\dot{3} = 0.1 + 0.0\dot{3}
So, we now know that 0.1 = 1/20 and 0.03333 = 1/30, thus;

0.1\dot{3} = 0.1 + 0.0\dot{3} = \frac{1}{10} + \frac{1}{30} = ?

Can you go from here?
 
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  • #32
quick I am being shotued at now :( sorri to be a pain
 
  • #33
is it 4/30?
 
  • #34
no i think is 3/30
 
  • #35
harlatt said:
is it 4/30?
Yes, which simplifies to...
 
  • #36
sorri to rush you but can u please be quick?
 
  • #37
erm is it 1/10?
 
  • #38
harlatt said:
erm is it 1/10?
No, you need to find a common factor between 4 and 30.
 
  • #39
what? sorri
 
  • #40
ive got to go now :( thanks for the help ill have to work on it more tomorrow willl u be on tomorrow?
 
  • #41
harlatt said:
what? sorri
You need to find a number that divides perfectly into both 4 and 30. For example, a common factor of 6 and 4 is two. Since when you divide 6 by 2 you obtain 3 and when you divide 4 by 2 you obtain 2.
 
  • #42
harlatt said:
ive got to go now :( thanks for the help ill have to work on it more tomorrow willl u be on tomorrow?
No problem. Possibly, but if I'm not on someone else will gladly help you.
 
  • #43
And show what you are doing- don't just toss out numbers.
 

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