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There is no "the" rational" number since there is an infinity of them. Start with the number halfway between the two: (1/10+1/11)/2 = 21/220. Then try halfway between 1/10 and 21/220, and then halfway between 1/10 and that on. And so on.

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Q: What is the rational number between 1 10th and 1 11th?
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