Question 473061
<pre>
There are two ways:

1. {{{5823/17469=1/3}}}
2. {{{5832/17496=1/3}}}

How'd I get that?

I knew it has to be a 4-digit number on top and
a 5 digit number on the bottom.  I knew that

{{{6000/18000 =1/3}}}

has to be close.  The numerator has to be increased or
decreasd with the denominator always being 3 times the 
numerator, so that we don't use the same digit twice 
or any zeros.

I used a TI-84 calculator.

I pressed CLEAR
I pressed Y=
After  \Y1= I typed 3X
I pressed 2ND
I pressed Window

I made this menu read

TABLE SETUP
 TblStart=6000
 &#4416;Tbl=1
Indpnt: Auto Ask
Depend: Auto Ask  

with "Auto" highlighted in both places

then 
I pressed 2ND
I pressed GRAPH

Then I pressed the up arrow looking under the X and the Y1 
columns until I got to a case where all 9 digits appeared.  
It didn't take me long to find those two that way.

Edwin</pre>