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There are infinitely many rational numbers between any two rational numbers - no matter how close you try to make them.

4/7 = 36/63 = 360/630

and

5/9 = 35/63 = 350/630

So 351/630, 352/360, ..., 359/630 are between the two.

As are 3511/3600, 3512/3600 etc

and 35111/36000, 35112/36000 and so on.

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Q: Is there a rational number between 4 upon 7 and 5 upon 9?
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