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how do you find a counterexample to show that the conjecture is false
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It depends on the conjecture. You would find a case where the conjecture fails. If it is not possible to find a counter example, demonstrate why it is not possible.
Hints: 1) What happens when you multiply a number by another positive number less than 1? 2) Make the denominators of the two proper fractions large enough so that you can make the numerators whatever you want.
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