Question

Insert​ three rational numbers between :- (a) -1/3 and -1/5 , (b) 4/11 and 9/16

Answer 1

(a)-1/3 and -1/5
LCM of them is 15
-1/3*5/5=-5/15
-1/5*3/3=-3/15

-5/15*4/4=-20/60
-3/15*4/4=-12/60

So the rational numbers between them are -13/60,-14/60,-15/60


(b)4/11 and 9/16
LCM of them is 176
4/11*16/16=64/176
9/16*11/11=99/176

so the rational numbers between them can be 65/176,78/176,88/176