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It is impossible. You can go on forever and ever since you can make the denominator larger at any time. There is an infinite amount of fractions between any two fractions. But, if you are only looking for thirds, it would be 1 whole.

depending on the limitations you put on the denominator depends on how many but to list them go in ascending order from 1/3 to 2/3

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Q: How do you list all the fractions between two thirds and one and one third?
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