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How many fractions are between three-fourths and seven-eights?
Blindbliss
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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∙ 15y ago
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