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Show that the rational number (a + b)/2 lies between the rational numbers a and b.
Between two rational numbers there are:
Assertion (A): There are exactly 3 rational numbers between \frac{1}{4} and \frac{1}{2}. Reason (R): Between any two distinct rational numbers there are infinitely many rational numbers.
Find three rational numbers between \frac{1}{3} and \frac{1}{2} by repeatedly finding the mean (average) of two numbers.
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