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Yes, an infinity of them.

6/4 = 12/8 and 7/4 = 14/8, so 13/8 is between the two.

6/4 = 24/16 and 7/4 = 28/16, so 25/16, 26/16 (which is 13/8) and 27/16 are between them.

This process can be carried on forever and so there are an infinite number of rational numbers between the two. And there are even more Irrational Numbers between them.

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Q: Are there any numbers between six fourths and seven fourths?
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