Find three rational numbers between 1/8 and 3/4
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Consider that 3/4=6/8 , so 2/8, 3/8, 4/8 and 5/8 are between 1/8 and 3/4.
We can go further than that.
Since 1/8 = 10/80 and 3/4 = 60/80 : 11/80, 12/80, 13/80………………59/80 also fit your description.
We also have 1/8 = 100000/800000 and 3/4 = 600000/800000 and we get 100001/800000…………. 599999/800000 as members of your set.
It should now be clear that there is no limit to how many rational numbers there are between 1/8 and 3/4 and that furthermore, for any two rational numbers there are an infinite number of rational numbers between them.
In other words, your question is invalid as it is based on the false idea that there are only two rational numbers between 1/8 and 3/4.
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