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experimentX Group Title

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.

  • 2 years ago
  • 2 years ago

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

    • 2 years ago
  2. ghazi Group Title
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    but i can prove it

    • 2 years ago
  3. experimentX Group Title
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    don't post answer ... i just need explanation http://projecteuler.net/problem=33

    • 2 years ago
  4. ghazi Group Title
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    |dw:1349020445163:dw| don't get irked please :)

    • 2 years ago
  5. experimentX Group Title
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    Woops!!

    • 2 years ago
  6. ghazi Group Title
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    lol

    • 2 years ago
  7. experimentX Group Title
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    funny!!

    • 2 years ago
  8. experimentX Group Title
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    i guess i understand what i means!!

    • 2 years ago
  9. ghazi Group Title
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    @experimentX can you please elaborate last line of your question?

    • 2 years ago
  10. experimentX Group Title
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    this isn't my question if it were mine i would have already solved it.

    • 2 years ago
  11. experimentX Group Title
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    i didn't expect the nine would be cancelled to give right answer.

    • 2 years ago
  12. ghazi Group Title
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    i know :)

    • 2 years ago
  13. ghazi Group Title
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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

    • 2 years ago
  14. experimentX Group Title
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    9*9*9 possibilities ... if you get out trivial case ... 9*9*9 - 10 possible cases.

    • 2 years ago
  15. ghazi Group Title
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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

    • 2 years ago
  16. experimentX Group Title
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    told ya .. don't post answer. this is supposed to be challenge Q.

    • 2 years ago
  17. experimentX Group Title
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    programming challenge ..

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

    • 2 years ago
  19. ghazi Group Title
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    \[\frac{ 30 }{ 50 },\frac{ 48 }{ 98 }, \frac{ 16 }{ 64 }, \frac{ 40 }{ 80 }\]

    • 2 years ago
  20. experimentX Group Title
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    zeros are trivial cases.

    • 2 years ago
  21. ghazi Group Title
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    sorry forgot that

    • 2 years ago
  22. experimentX Group Title
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    Yep .. got'em all

    • 2 years ago
  23. ghazi Group Title
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    ??

    • 2 years ago
  24. ghazi Group Title
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    @experimentX what are those? i just got two

    • 2 years ago
  25. mukushla Group Title
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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

    • 2 years ago
  26. experimentX Group Title
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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

    • 2 years ago
  27. ghazi Group Title
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    no

    • 2 years ago
  28. ghazi Group Title
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    @experimentX 26/65 seems in correct

    • 2 years ago
  29. experimentX Group Title
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    they are multiples of 13

    • 2 years ago
  30. ghazi Group Title
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    exactly ..i was in haste ...nice you've got the jack pot ..cool

    • 2 years ago
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