PROBLEM 9

It is a simple matter to write a fraction as a sum of reciprocals. For example,
       3   1   1   1       - = - + - + -       4   4   4   4

Writing fractions as sums of reciprocals with distinct denominators isa bit harder. For example,

       3   1   1          - = - + -        4   2   4

Write 65/131 as a sum of reciprocals with distinct denominators.


Send your solutions to David Poole, Department of Mathematics, LEC N127-2 or bye-mail to madgp@blaze.trentu.ca.
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