Expert: Sherman D. - 1/4/2005

Question
with all numbers 0 to 9 (0,1,2,3,4,5,6,7,8,9) (without repetition) create 2 fractional number(mixed number) that their sum be come 1 (example:  123/450  +  67/89 = 1  of course this example is false)

Answer
(48/96) + (135/270) = 1

Here is what i did.

First i just did the halves

1/2,2/4,4/8,5/10,6/12,7/14,8/16,9/18,

13/26,14/28,15/30,16/32,17/34,18/36,19/38,23/46,27/54,28/56,29/58,31/62,32/64,34/68,35/70,36/72,38/74,39/78,41/82,43/86,45/90,46/92,48/96,

51/102,52/104,54/108,64/128,65/130,67/134,
69/138,73/146,76/152,78/156,79/158,82/164,86/170,89/176,
92/184,93/186,

134/268,135/270,138/276,139/278,143/286,145/290,148/256,
149/258

Here is how i grouped them.

since i hadn't gotten to the thousands yet, i skipped the (a/b) fractions

(ab/cd) + (efg/hij)

That is how i got the answer. Sorry i couldn't tell you of an easier way to find the solution.