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# A rational number between and
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9. A rational number between
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Step-by-step explanation:
find 'n' number of rational numbers between 'a' and 'b', find a + (b-a)k/(n+1), where k = 1, 2, 3,..., n-1
We will use this fact to find all the rational numbers.
(1) Rational numbers between -1 and 0
Substituting a = 0, b = -1, n = 5 in a + (b-a)k/(n+1)
we get, -k/6, where k = 1, 2, 3, 4, 5
Substituting k = 1, 2, 3, 4, 5 in -k/6 we get the following rational numbers
-1/6, -2/6, -3/6, -4/6, -5/6
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