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

1. Sep 6, 2006

### harlatt

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

Can anyone give me an idea of how i can do this?

:uhh:

2. Sep 6, 2006

### dmoravec

think of 0.133r as 0.1 + 0.033333r.... and then add the fractions together.

3. Sep 6, 2006

### Hootenanny

Staff Emeritus
Hi there harlatt and welcome to PF,

From wikipedia:
The whole document can be found here: http://en.wikipedia.org/wiki/Recurring_decimal

Hope this helps

4. Sep 6, 2006

### harlatt

Sorry but i rlly dont get none of it lol

5. Sep 6, 2006

### harlatt

ohhhhhh i get it! cheers thanks sooo much!

6. Sep 6, 2006

### harlatt

wud it be 3/19 or is tht completely rong

7. Sep 6, 2006

### dmoravec

its not 3/19, but what was your work that got you there, maybe we can point out an error.

8. Sep 6, 2006

### Hootenanny

Staff Emeritus
Nope, not quite.

9. Sep 6, 2006

### harlatt

erm...

to be honest i dont get it now :(

im gettin rlly stressed cos ive been on this question for bout an hour nd have no clue

10. Sep 6, 2006

### dmoravec

so the numbe .1333 can easily be divided into 0.1 and 0.033333
.1 is easy as 1/10
but using hootenannny's post what would 0.03333333333 in fraction form?

11. Sep 6, 2006

### harlatt

is it 15/90?

12. Sep 6, 2006

### Hootenanny

Staff Emeritus
Okay, so we have the decimal $0.1\dot{3}$; this can be split into two decimals thus;

$$0.1\dot{3} = 0.1 + 0.0\dot{3}$$

Now, can you write $0.1$ and $0.0\dot{3}$ as fractions?

13. Sep 6, 2006

### Hootenanny

Staff Emeritus
No, but very very close.

14. Sep 6, 2006

### harlatt

is the whole answer 15/90 ive gone thru what the wikipedia thing has?

15. Sep 6, 2006

### harlatt

erm......................... illl try agen one sec

16. Sep 6, 2006

### Hootenanny

Staff Emeritus
The answer is not 15/90. Try doing what was suggested above and show your work

17. Sep 6, 2006

### harlatt

nope im still gettin 15/90

i went

0.133333...= 0.1 + 0.033333
=1/10 + 3/90 = 12/90 + 3/90 = 15/90

where am i goin rong?

18. Sep 6, 2006

### Tomsk

No, try thinking of what 0.333... is as a fraction, then work out the relationship between that and 0.0333...

19. Sep 6, 2006

### harlatt

i dont rlly no

20. Sep 6, 2006

### Tomsk

You're nearly there, you just need to add the fractions 1/10 and 3/90 together properly, 1/10 shouldn't become 12/90.