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experimentX

Can anyone explain this to me? The fraction 49/98 is a curious fraction, as an inexperienced mathematician in attempting to simplify it may incorrectly believe that 49/98 = 4/8, which is correct, is obtained by cancelling the 9s. We shall consider fractions like, 30/50 = 3/5, to be trivial examples. There are exactly four non-trivial examples of this type of fraction, less than one in value, and containing two digits in the numerator and denominator. If the product of these four fractions is given in its lowest common terms, find the value of the denominator.

  • one year ago
  • one year ago

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  1. ghazi
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    49/98 = 4/8 could be a mathematical fallacy

    • one year ago
  2. ghazi
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    but i can prove it

    • one year ago
  3. experimentX
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    don't post answer ... i just need explanation http://projecteuler.net/problem=33

    • one year ago
  4. ghazi
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    |dw:1349020445163:dw| don't get irked please :)

    • one year ago
  5. experimentX
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    Woops!!

    • one year ago
  6. ghazi
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    lol

    • one year ago
  7. experimentX
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    funny!!

    • one year ago
  8. experimentX
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    i guess i understand what i means!!

    • one year ago
  9. ghazi
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    @experimentX can you please elaborate last line of your question?

    • one year ago
  10. experimentX
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    this isn't my question if it were mine i would have already solved it.

    • one year ago
  11. experimentX
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    i didn't expect the nine would be cancelled to give right answer.

    • one year ago
  12. ghazi
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    i know :)

    • one year ago
  13. ghazi
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    but in the example 30/50 cancel out zeroes you're gonna get that you're lookin for..sorry, let me try this

    • one year ago
  14. experimentX
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    9*9*9 possibilities ... if you get out trivial case ... 9*9*9 - 10 possible cases.

    • one year ago
  15. ghazi
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    no, i think there are exactly 4 possibilities and if they are expressed as lowest fraction you'll have denominator of it will be equal to ?? the other example is 16/64

    • one year ago
  16. experimentX
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    told ya .. don't post answer. this is supposed to be challenge Q.

    • one year ago
  17. experimentX
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    programming challenge ..

    • one year ago
  18. ghazi
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    well the answer is equal to = 2*5*4*2 and another example is 40/80

    • one year ago
  19. ghazi
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    \[\frac{ 30 }{ 50 },\frac{ 48 }{ 98 }, \frac{ 16 }{ 64 }, \frac{ 40 }{ 80 }\]

    • one year ago
  20. experimentX
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    zeros are trivial cases.

    • one year ago
  21. ghazi
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    sorry forgot that

    • one year ago
  22. experimentX
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    Yep .. got'em all

    • one year ago
  23. ghazi
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    ??

    • one year ago
  24. ghazi
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    @experimentX what are those? i just got two

    • one year ago
  25. mukushla
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    there are 4 equation to solve\[\frac{ab}{cb}=\frac{a}{c}\]\[\frac{ba}{cb}=\frac{a}{c}\]\[\frac{ba}{bc}=\frac{a}{c}\]\[\frac{ab}{bc}=\frac{a}{c}\]if u wanna do it by hand of course :) these are easy to solve i think

    • one year ago
  26. experimentX
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    yep .. thanks for idea. looks like i hit jackpot. well ... the answers are 16 64 19 95 26 65 49 98

    • one year ago
  27. ghazi
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    no

    • one year ago
  28. ghazi
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    @experimentX 26/65 seems in correct

    • one year ago
  29. experimentX
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    they are multiples of 13

    • one year ago
  30. ghazi
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    exactly ..i was in haste ...nice you've got the jack pot ..cool

    • one year ago
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