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2014-08-03T22:13:28+05:30

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1/5    and 1/4
1/4 =  5  / 20  = 25 /100  nultiply by 5 in numerator & denominator
1/5  = 4 / 20  = 20 / 100  multiply by 5  in Nr  and Dr
So now we want rational numbers between  20 /100  and 25 /100
They are easily
 21        22        23      24     
---- ,    ----    ,    ----,     ----    
100      100      100     100
0
2014-08-04T02:25:38+05:30
2014-08-04T18:39:06+05:30
To find out the rational nos. between them we have to find it's Average of these 2 nos.-1/5+1/4= 4+5 = 9
           2        20    40  
                      2 
1/5,9/20,1/4
Now to find the other nos. we have to find the average of 1/5 and 9/20
the LCM of 5 and 20 is 20= 5+13 =18/40
                                         20   
                                        2               
1/518/40,9/20,1/4
Now to find the other nos. we have to find the average of 9/20 and 1/4
the LCM of 40 and 20 is 40=18+18 =36/80
                                          40   
                                             2           
1/5,18/40,9/20,36/80,1/4
Now to find the other nos. we have to find the average of 9/20 and 36/80
the LCM of 20 and 80 is 80=360+36=420/160=21/8
                                            80   
                                            2
Now to find the other nos. we have to find the average of 9/20 and 18/40
the LCM of 40 and 20 is 40=18+18 =36/80
                                            40   
                                           2
Therefore thefour rational nos. are-1/5,18/40,9/20,36/80,36/80,1/4 which can be simplified...
1 5 1