Distinct digits but Close Enough

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Using the digits from $1$ to $9$,



  • Form four numbers, such as ($X$,$Y$,$Z$,$T$)

  • Then take $Xdiv Y$ and $Zdiv T$ where both values should be different than each other.

  • You need to use all digits from $1$ to $9$ but once, such as ($923div 85$,$67div 41$)


What is the smallest difference between these two values?







mathematics







share|improve this question























  • how many digits for each number, any restrictions?
    – Shahriar Mahmud Sajid
    46 mins ago










  • Do we have to use every digit once or can we use it multiple times?
    – Ian Fako
    43 mins ago






  • 1




    @IanFako edited, though once :)
    – Oray
    42 mins ago















up vote
1
down vote

favorite












Using the digits from $1$ to $9$,



  • Form four numbers, such as ($X$,$Y$,$Z$,$T$)

  • Then take $Xdiv Y$ and $Zdiv T$ where both values should be different than each other.

  • You need to use all digits from $1$ to $9$ but once, such as ($923div 85$,$67div 41$)


What is the smallest difference between these two values?







mathematics







share|improve this question























  • how many digits for each number, any restrictions?
    – Shahriar Mahmud Sajid
    46 mins ago










  • Do we have to use every digit once or can we use it multiple times?
    – Ian Fako
    43 mins ago






  • 1




    @IanFako edited, though once :)
    – Oray
    42 mins ago













up vote
1
down vote

favorite









up vote
1
down vote

favorite











Using the digits from $1$ to $9$,



  • Form four numbers, such as ($X$,$Y$,$Z$,$T$)

  • Then take $Xdiv Y$ and $Zdiv T$ where both values should be different than each other.

  • You need to use all digits from $1$ to $9$ but once, such as ($923div 85$,$67div 41$)


What is the smallest difference between these two values?







mathematics







share|improve this question















Using the digits from $1$ to $9$,



  • Form four numbers, such as ($X$,$Y$,$Z$,$T$)

  • Then take $Xdiv Y$ and $Zdiv T$ where both values should be different than each other.

  • You need to use all digits from $1$ to $9$ but once, such as ($923div 85$,$67div 41$)


What is the smallest difference between these two values?







mathematics




mathematics






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 42 mins ago

























asked 48 mins ago









Oray

14.3k435140




14.3k435140











  • how many digits for each number, any restrictions?
    – Shahriar Mahmud Sajid
    46 mins ago










  • Do we have to use every digit once or can we use it multiple times?
    – Ian Fako
    43 mins ago






  • 1




    @IanFako edited, though once :)
    – Oray
    42 mins ago

















  • how many digits for each number, any restrictions?
    – Shahriar Mahmud Sajid
    46 mins ago










  • Do we have to use every digit once or can we use it multiple times?
    – Ian Fako
    43 mins ago






  • 1




    @IanFako edited, though once :)
    – Oray
    42 mins ago
















how many digits for each number, any restrictions?
– Shahriar Mahmud Sajid
46 mins ago




how many digits for each number, any restrictions?
– Shahriar Mahmud Sajid
46 mins ago












Do we have to use every digit once or can we use it multiple times?
– Ian Fako
43 mins ago




Do we have to use every digit once or can we use it multiple times?
– Ian Fako
43 mins ago




1




1




@IanFako edited, though once :)
– Oray
42 mins ago





@IanFako edited, though once :)
– Oray
42 mins ago











3 Answers
3






active

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votes

















up vote
2
down vote













Just by randomly mixing up different digits I came up with this




$dfrac648 - dfrac975123 = 0.0731707dots$




Second try




$dfrac124975 - dfrac863 = 0.000195dots$







share|improve this answer






















  • You can do much better by using the reciprocal values.
    – M Oehm
    15 mins ago











  • @MOehm oh god, thats true, feel stupid now
    – Ian Fako
    12 mins ago

















up vote
1
down vote













Here's My attempt-




$dfrac975483 - dfrac126 = 0.01863354dots$







share|improve this answer



























    up vote
    1
    down vote













    My first attempt




    Staying close to the original order of numbers
    45/69 - 78/123
    0.01802757







    share|improve this answer








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      3 Answers
      3






      active

      oldest

      votes








      3 Answers
      3






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes








      up vote
      2
      down vote













      Just by randomly mixing up different digits I came up with this




      $dfrac648 - dfrac975123 = 0.0731707dots$




      Second try




      $dfrac124975 - dfrac863 = 0.000195dots$







      share|improve this answer






















      • You can do much better by using the reciprocal values.
        – M Oehm
        15 mins ago











      • @MOehm oh god, thats true, feel stupid now
        – Ian Fako
        12 mins ago














      up vote
      2
      down vote













      Just by randomly mixing up different digits I came up with this




      $dfrac648 - dfrac975123 = 0.0731707dots$




      Second try




      $dfrac124975 - dfrac863 = 0.000195dots$







      share|improve this answer






















      • You can do much better by using the reciprocal values.
        – M Oehm
        15 mins ago











      • @MOehm oh god, thats true, feel stupid now
        – Ian Fako
        12 mins ago












      up vote
      2
      down vote










      up vote
      2
      down vote









      Just by randomly mixing up different digits I came up with this




      $dfrac648 - dfrac975123 = 0.0731707dots$




      Second try




      $dfrac124975 - dfrac863 = 0.000195dots$







      share|improve this answer














      Just by randomly mixing up different digits I came up with this




      $dfrac648 - dfrac975123 = 0.0731707dots$




      Second try




      $dfrac124975 - dfrac863 = 0.000195dots$








      share|improve this answer














      share|improve this answer



      share|improve this answer








      edited 10 mins ago

























      answered 19 mins ago









      Ian Fako

      492113




      492113











      • You can do much better by using the reciprocal values.
        – M Oehm
        15 mins ago











      • @MOehm oh god, thats true, feel stupid now
        – Ian Fako
        12 mins ago
















      • You can do much better by using the reciprocal values.
        – M Oehm
        15 mins ago











      • @MOehm oh god, thats true, feel stupid now
        – Ian Fako
        12 mins ago















      You can do much better by using the reciprocal values.
      – M Oehm
      15 mins ago





      You can do much better by using the reciprocal values.
      – M Oehm
      15 mins ago













      @MOehm oh god, thats true, feel stupid now
      – Ian Fako
      12 mins ago




      @MOehm oh god, thats true, feel stupid now
      – Ian Fako
      12 mins ago










      up vote
      1
      down vote













      Here's My attempt-




      $dfrac975483 - dfrac126 = 0.01863354dots$







      share|improve this answer
























        up vote
        1
        down vote













        Here's My attempt-




        $dfrac975483 - dfrac126 = 0.01863354dots$







        share|improve this answer






















          up vote
          1
          down vote










          up vote
          1
          down vote









          Here's My attempt-




          $dfrac975483 - dfrac126 = 0.01863354dots$







          share|improve this answer












          Here's My attempt-




          $dfrac975483 - dfrac126 = 0.01863354dots$








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 13 mins ago









          Shahriar Mahmud Sajid

          2,674526




          2,674526




















              up vote
              1
              down vote













              My first attempt




              Staying close to the original order of numbers
              45/69 - 78/123
              0.01802757







              share|improve this answer








              New contributor




              MKBakker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
              Check out our Code of Conduct.





















                up vote
                1
                down vote













                My first attempt




                Staying close to the original order of numbers
                45/69 - 78/123
                0.01802757







                share|improve this answer








                New contributor




                MKBakker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.



















                  up vote
                  1
                  down vote










                  up vote
                  1
                  down vote









                  My first attempt




                  Staying close to the original order of numbers
                  45/69 - 78/123
                  0.01802757







                  share|improve this answer








                  New contributor




                  MKBakker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.









                  My first attempt




                  Staying close to the original order of numbers
                  45/69 - 78/123
                  0.01802757








                  share|improve this answer








                  New contributor




                  MKBakker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.









                  share|improve this answer



                  share|improve this answer






                  New contributor




                  MKBakker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.









                  answered 10 mins ago









                  MKBakker

                  2893




                  2893




                  New contributor




                  MKBakker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.





                  New contributor





                  MKBakker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.






                  MKBakker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.



























                       

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