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A rational number can be defined as the quotient a/b of two integers so that q is not equal to zero.
Given two rational numbers are 1/3 and 1/3
we need to find five rational numbers between the given two numbers
1/3 can also be written as 1/3 * 6/6 = 6/18
and,
1/3 can also be written as 1/3 * 6/6 = 6/18
(when we do the multiplication we get the same values)
we know that the integers between 6 and 6 are: 5,4,3,2,1,0,1,2,3,4,5.
similarly here for the given range 6/18 to 6/18
the numbers between them are :
5/18 < 4/28 < 3/18 < 2/18 < 1/18 < 0 < 1/18 < 2/18 < 3/18 < 4/18 < 5/18
we can select any five numbers of our choice from the above list.
The five integers between the given two numbers are:
2/18, 4/18, 2/18, 3/18, 1/18.