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Question

4 rational numbers between 1/4 and 1/6


Solution

Taking mean of 1/4 and 1/6 we get (1/6+1/4)/2=(4+6)/24/2=5/24
Taking mean of 5/24 and 1/4 we get (5/24+1/4)/2=(11/24)/2=11/48
Taking mean of 5/24 and 1/6 we get (5/24+1/6)/2=(9/24)/2=9/48
Taking mean of 11/48 and 1/4 we get (11/48+1/4)/2=(11/48+12/48)/2=(23/48)/2=23/96

So 4 rational numbers between 1/4 and 1/6 are 5/24,11/48,9/48,23/96.

Hope this helps :)

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