anonymous
  • anonymous
***Help Wanted*** ***Medal and Fan Earned*** Change 0.1313... to a common fraction.
Mathematics
katieb
  • katieb
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RadEn
  • RadEn
first, let x = 0.13131313.... now multiply by 100 to both sides, what u get
anonymous
  • anonymous
100x=13.131313
phi
  • phi
Here is an example http://www.khanacademy.org/math/arithmetic/decimals/v/coverting-repeating-decimals-to-fractions-1

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RadEn
  • RadEn
ok, good... so, if given 2 equations : 100x = 13.13131313.... and x = 0.13131313 .... subtract of both, 1st equation - 2nd equation, what u get
anonymous
  • anonymous
can you rephrase what you want me to subtract please?
RadEn
  • RadEn
it means, left side - left side = right side - right side 100x - x = 13.131313... - 0.13131313... , right ?
RadEn
  • RadEn
well, i will figure out |dw:1354893841737:dw|
amistre64
  • 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
RadEn
  • RadEn
simplied again... 99x = 13 solve for x, just dividing by 99 to both sides u will get the answr
anonymous
  • anonymous
13/99 ... thanks for all of your help... i would have responded sooner but my internet is crappy...
RadEn
  • RadEn
correct, good finishing :)
anonymous
  • anonymous
thanks
RadEn
  • RadEn
welcome

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