experimentX
  • 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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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ghazi
  • ghazi
49/98 = 4/8 could be a mathematical fallacy
ghazi
  • ghazi
but i can prove it
experimentX
  • experimentX
don't post answer ... i just need explanation http://projecteuler.net/problem=33

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More answers

ghazi
  • ghazi
|dw:1349020445163:dw| don't get irked please :)
experimentX
  • experimentX
Woops!!
ghazi
  • ghazi
lol
experimentX
  • experimentX
funny!!
experimentX
  • experimentX
i guess i understand what i means!!
ghazi
  • ghazi
@experimentX can you please elaborate last line of your question?
experimentX
  • experimentX
this isn't my question if it were mine i would have already solved it.
experimentX
  • experimentX
i didn't expect the nine would be cancelled to give right answer.
ghazi
  • ghazi
i know :)
ghazi
  • ghazi
but in the example 30/50 cancel out zeroes you're gonna get that you're lookin for..sorry, let me try this
experimentX
  • experimentX
9*9*9 possibilities ... if you get out trivial case ... 9*9*9 - 10 possible cases.
ghazi
  • ghazi
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
experimentX
  • experimentX
told ya .. don't post answer. this is supposed to be challenge Q.
experimentX
  • experimentX
programming challenge ..
ghazi
  • ghazi
well the answer is equal to = 2*5*4*2 and another example is 40/80
ghazi
  • ghazi
\[\frac{ 30 }{ 50 },\frac{ 48 }{ 98 }, \frac{ 16 }{ 64 }, \frac{ 40 }{ 80 }\]
experimentX
  • experimentX
zeros are trivial cases.
ghazi
  • ghazi
sorry forgot that
experimentX
  • experimentX
Yep .. got'em all
ghazi
  • ghazi
??
ghazi
  • ghazi
@experimentX what are those? i just got two
anonymous
  • anonymous
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
experimentX
  • experimentX
yep .. thanks for idea. looks like i hit jackpot. well ... the answers are 16 64 19 95 26 65 49 98
ghazi
  • ghazi
no
ghazi
  • ghazi
@experimentX 26/65 seems in correct
experimentX
  • experimentX
they are multiples of 13
ghazi
  • ghazi
exactly ..i was in haste ...nice you've got the jack pot ..cool

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