Fraction fun

March 27th, 2009 | by Sol |

Here’s an interesting equation:

    50 1/2 + 49 38/76 = 100

It’s interesting because the left side of the equation uses each of the digits between 0 and 9 exactly once.

Here’s another example:

    97 30/45 + 2 6/18 = 100

Can you find other such equations where the left side has whole numbers and fractions which sum to 100?

For those of you so inclined, can you get a computer to find all solutions?

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  1. 6 Responses to “Fraction fun”

  2. By Loai Najati on Mar 30, 2009 | Reply

    Amazing!. Thanks

  3. By Ishita on Mar 30, 2009 | Reply

    This a great problem for after any test. Thanks

  4. By Quan on Mar 31, 2009 | Reply

    can’t wait to try this!

  5. By Jonathan on Apr 4, 2009 | Reply

    I’m fairly confident that there are many solutions.

    if this: 21/3 + 8 + 4 + 7 + 60 + 5 + 9

    is allowed.

  6. By Michael Croucher on Apr 14, 2009 | Reply

    Hi Sol

    I liked the problem so had a crack at a computer solution.

    http://www.walkingrandomly.com/?p=1019

    580 (I think) solutions if you keep to only 2 integer terms and 2 fraction terms as you did in your examples.

  7. By Anthony on Apr 16, 2009 | Reply

    I thought I was pretty reasonable at maths before I saw this blog. I think I need to go back to school.

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