Question

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.

Answer 1

49/98 = 4/8 could be a mathematical fallacy

Answer 2

but i can prove it

Answer 3

don't post answer ... i just need explanation
http://projecteuler.net/problem=33

Answer 4

don't get irked please :)

Answer 5

Woops!!

Answer 6

lol

Answer 7

funny!!

Answer 8

i guess i understand what i means!!

Answer 9

@experimentX can you please elaborate last line of your question?

Answer 10

this isn't my question if it were mine i would have already solved it.

Answer 11

i didn't expect the nine would be cancelled to give right answer.

Answer 12

i know :)

Answer 13

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

Answer 14

9*9*9 possibilities ... if you get out trivial case ... 9*9*9 - 10 possible cases.

Answer 15

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

Answer 16

told ya .. don't post answer. this is supposed to be challenge Q.

Answer 17

programming challenge ..

Answer 18

well the answer is equal to = 2*5*4*2 and another example is 40/80

Answer 19

\[\frac{ 30 }{ 50 },\frac{ 48 }{ 98 }, \frac{ 16 }{ 64 }, \frac{ 40 }{ 80 }\]

Answer 20

zeros are trivial cases.

Answer 21

sorry forgot that

Answer 22

Yep .. got'em all

Answer 23

??

Answer 24

@experimentX what are those? i just got two

Answer 25

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

Answer 26

yep .. thanks for idea. looks like i hit jackpot. well ... the answers are
16 64

19 95

26 65

49 98

Answer 27

no

Answer 28

@experimentX 26/65 seems in correct

Answer 29

they are multiples of 13

Answer 30

exactly ..i was in haste ...nice you've got the jack pot ..cool