Question

find two rational numbers lying between 1/3 and 1/2

Answer 1

Given the two rational nos. are 1/2 and 1/3,

To find any number of rational nos. between any two nos., we always find the average of the two nos.

Therefore, Rational no. 1: (1/2 + 1/3)/2=5/12

For rational no. 2: (1/2+5/12)/2=11/24

So, if we had to find 3 rational nos., then (1/3+5/12)/2+3/8

So, Answer= 5/12,11/24

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