five rational numbers between -12/15 and -10/15
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Answer:
1,2,3,4,5 and 1,2,3,4,5
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Step-by-step explanation:
Here’s a simple method to generate a rational number strictly between any two rational numbers a and b where a<b .
First choose any rational number, r , in the open interval (0,1) . In other words choose any fraction r=pq where p,q∈N+ and p<q and, just for good measure, p and q are coprime.
Now calculate c = a(1–r)+b(r) .
The number c is rational and also a<c<b .
This method generates all of the rationals between a and b . Forcing p and q to be coprime ensures that each is generated precisely once (by only one possible p , q combination).
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