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minnie123

***Help Wanted*** ***Medal and Fan Earned*** Change 0.1313... to a common fraction.

  • one year ago
  • one year ago

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

    • one year ago
  2. minnie123
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    100x=13.131313

    • one year ago
  3. phi
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    Here is an example http://www.khanacademy.org/math/arithmetic/decimals/v/coverting-repeating-decimals-to-fractions-1

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

    • one year ago
  5. minnie123
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    can you rephrase what you want me to subtract please?

    • one year ago
  6. RadEn
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    it means, left side - left side = right side - right side 100x - x = 13.131313... - 0.13131313... , right ?

    • one year ago
  7. RadEn
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    well, i will figure out |dw:1354893841737:dw|

    • one year ago
  8. amistre64
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    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

    • one year ago
  9. RadEn
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    simplied again... 99x = 13 solve for x, just dividing by 99 to both sides u will get the answr

    • one year ago
  10. minnie123
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    13/99 ... thanks for all of your help... i would have responded sooner but my internet is crappy...

    • one year ago
  11. RadEn
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    correct, good finishing :)

    • one year ago
  12. minnie123
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    thanks

    • one year ago
  13. RadEn
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    welcome

    • one year ago
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