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experimentX

  • 2 years ago

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.

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  1. ghazi
    • 2 years ago
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    49/98 = 4/8 could be a mathematical fallacy

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

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

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

  5. experimentX
    • 2 years ago
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    Woops!!

  6. ghazi
    • 2 years ago
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    lol

  7. experimentX
    • 2 years ago
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    funny!!

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

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

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

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

  12. ghazi
    • 2 years ago
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    i know :)

  13. ghazi
    • 2 years ago
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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

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

  15. ghazi
    • 2 years ago
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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

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

  17. experimentX
    • 2 years ago
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    programming challenge ..

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

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

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

  21. ghazi
    • 2 years ago
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    sorry forgot that

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

  23. ghazi
    • 2 years ago
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    ??

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

  25. mukushla
    • 2 years ago
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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

  26. experimentX
    • 2 years ago
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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

  27. ghazi
    • 2 years ago
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    no

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

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

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

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