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A rational number is any number that can be expressed as a fraction.

Pick any integer (n) as the denominator then the numerator can be any value between 1 and n-1, for example 1/100, 2/100, 3/100,..........98/100, 99/100. All these fractions lie between 0 and 1.

The denominator therefore can be any number in the range 2 to ∞ (infinity). There are thus an unlimited number of rational numbers between 0 and 1.

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Q: How many rational numbers are between 0 and 1 and why?
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