I thought that it was about a women picking off the pedals of a flower saying does he love me does he not and when it is autumn the leaves blow away.
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Answer:
A rational number is simply able to be represented by the division of one integer by another integer.
So, the goal is to find a rational number between 3/4 and 7/8.
Write 3/4 as 6/8. Now the problem is more clearly to find that rational number between 6/8 and 7/8. No integer between 6 and 7 that we can use in the numerator of a solution - so…
Simply write both in terms of 16ths now. So find a solution between 12/16 and 14/16. Clearly now an answer is 13/16.
Write both in terms of 32ths now - so find a solution between 24/32 and 28/32. Now there are clearly 3: 25/32, 26/32 and 27/32.
Continue in a l
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Vishnu Thakkar, M.Sc. Mathematics & Computer Science, Gujarat University (1976)
Answered May 29, 2019 · Author has 692 answers and 292.4K answer views
Apply simple rule of average of two rational numbers is rational recursively, you may get infinitely many (as many as you want.
(3/4 +7/8)/2
=(6/8+7/8)/2
=(13/8)/2
=13/16
So, we have 3/4 , 13/16, 7/8
3/4=24/32; 13/16=26/32; 7/8=28/32
Averages: 25/32 and 27/32
So, we have 3/4, 25/32, 13/16, 27/32 , 7/8
The numbers listed above are ascending (increasing); they satisfy desired condition.
We can go on repeating process.
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