## minnie123 2 years ago ***Help Wanted*** ***Medal and Fan Earned*** Change 0.1313... to a common fraction.

first, let x = 0.13131313.... now multiply by 100 to both sides, what u get

2. minnie123

100x=13.131313

3. phi

ok, good... so, if given 2 equations : 100x = 13.13131313.... and x = 0.13131313 .... subtract of both, 1st equation - 2nd equation, what u get

5. minnie123

can you rephrase what you want me to subtract please?

it means, left side - left side = right side - right side 100x - x = 13.131313... - 0.13131313... , right ?

well, i will figure out |dw:1354893841737:dw|

8. amistre64

RadEn has a great proof; after about a hundred of these you see a pattern 0.abc... repeats abc then; abc/999 is the fraction the number of 9s in the denominator is the number of positions that are repeated

simplied again... 99x = 13 solve for x, just dividing by 99 to both sides u will get the answr

10. minnie123

13/99 ... thanks for all of your help... i would have responded sooner but my internet is crappy...

correct, good finishing :)

12. minnie123

thanks