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

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To convert the repeating decimal 0.1333... into a fraction, it can be expressed as the sum of 0.1 and 0.0333..., where 0.1 equals 1/10 and 0.0333... equals 1/30. The next step is to add these fractions together, which requires finding a common denominator. The correct addition leads to the fraction 1/10 + 1/30, which simplifies to 4/30 or 2/15. Thus, 0.1333... as a fraction is 2/15.
  • #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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