find five rational number between:-a)1/4 and 1/3
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The five rational numbers are 6/24 and 6/18
between 6/18 and 6/24
6/19,6/20,6/21,6/22,6/23
between 6/18 and 6/24
6/19,6/20,6/21,6/22,6/23
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Solution:-
given :-
retional number between 1/4 and 1/3
:- 1/2(1/4+1/3)= 1/2× 7/12 = 7/24
:- 1/2(1/4+7/24) = 1/2(13/24) = 13/48
:- 1/2(1/4+13/48) = 1/2 × 25/48 = 25/96
:- 1/2(7/24+1/3) = 1/2 × ( 15/24) = 14/48
:- 1/2(14/48+1/3) = 1/2 × ( 30/48) = 30/96
given :-
retional number between 1/4 and 1/3
:- 1/2(1/4+1/3)= 1/2× 7/12 = 7/24
:- 1/2(1/4+7/24) = 1/2(13/24) = 13/48
:- 1/2(1/4+13/48) = 1/2 × 25/48 = 25/96
:- 1/2(7/24+1/3) = 1/2 × ( 15/24) = 14/48
:- 1/2(14/48+1/3) = 1/2 × ( 30/48) = 30/96
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