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Fractions are considered a Countable infinity, while decimals are uncountable. I don't know if you can state that one is more than the other, only that you can arrange all fractions in such a way that they can be counted (even though you'd never get to the end). Decimals, and Irrational Numbers cannot be counted. See related link for more information on this.

Carl Sagan said something like: the number 1 and a googolplex are the same distance away from infinity.

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Q: Is the infinity of decimals greater than the infinity of fractions?
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