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The greatest fraction in the set {1/2, 1/4, 1/8, 1/16, ... } is 1/2 which is less than 1!

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Q: Why cant you have the greatest fraction be lesstham 1?
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Why cant you have the greatest fraction be less than 1?

You can have fractions larger than 1. For example, 9/8 is a fraction that is larger than 1, as is 100000000000000000000000/3. Thus, the greatest possible fraction in the universe is greater than 1.


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