## 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. one year ago one year ago

1. ghazi Group Title

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

2. ghazi Group Title

but i can prove it

3. experimentX Group Title

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

4. ghazi Group Title

|dw:1349020445163:dw| don't get irked please :)

5. experimentX Group Title

Woops!!

6. ghazi Group Title

lol

7. experimentX Group Title

funny!!

8. experimentX Group Title

i guess i understand what i means!!

9. ghazi Group Title

10. experimentX Group Title

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

11. experimentX Group Title

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

12. ghazi Group Title

i know :)

13. ghazi Group Title

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 Group Title

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

15. ghazi Group Title

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 Group Title

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

17. experimentX Group Title

programming challenge ..

18. ghazi Group Title

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

19. ghazi Group Title

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

20. experimentX Group Title

zeros are trivial cases.

21. ghazi Group Title

sorry forgot that

22. experimentX Group Title

Yep .. got'em all

23. ghazi Group Title

??

24. ghazi Group Title

@experimentX what are those? i just got two

25. mukushla Group Title

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 Group Title

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

27. ghazi Group Title

no

28. ghazi Group Title

@experimentX 26/65 seems in correct

29. experimentX Group Title

they are multiples of 13

30. ghazi Group Title

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