If you were counting in eighths, there are none because 3/4 = 6/8.
If you were however, counting is sixteenths there are more fractions. 3/4 = 12/16; 7/8 = 14/16. So, 12/16, 13/16, 14/16
If you were counting in thirty-seconds there are ever MORE fractions! 3/4 = 24/32; 7/8 = 28/32. So, 24/32, 25/32, 26/32, 27/32, 28/32
Let's assume that you count in thirty-two millionths. There are many more fractions between 3/4 and 7/8. 3/4 = 24000000/32000000; 7/8 = 28000000/32000000. 2400001/32000000, 2400002/32000000, 24000003/32000000... 27999997/32000000, 27999998/32000000, 27999999/32000000, 28000000/32000000
What is the largest number that you can think of? Can you add one to it? YES!
The final answer is that there are an infinite number of fractions between 3/4 and 7/8.
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There are infinitely many fractions between 1 and 2 and I have no intention of even starting to list them.
Well, darling, between 5 and 6, there are infinity fractions. Fractions are like rabbits, they just keep multiplying. So, if you want an exact number, tough luck, because you'll be counting those fractions until the cows come home.
1
An infinite amount.
If you are asking how many different fractions lie in this range the answer is an infinite amount. If you are asking what fraction lies in the center it is 1/2