Question

Find three rational numbers between \frac{1}{4} and \frac{1}{5} ​

Answer 1

Answer:

To insert 3 rational numbers multiply both the numerator and the denominator by 4

But to insert we should have like terms 1/4 and 1/5 these like terms are 5/20,4/20

now if we multiply we get

(5×4/20×4),(4×4/20×4)

20/80,16/80

now the rational numbers between 1/4 and 1/5 are

17/80,18/80,19/80

Answer 2

first same the denominator

so, LCM 4 and 5 =20

1×5/4×5= 5/20 ,1×4/5×4= 4/20

between the 5/20, 4/20=not three rational no.

so,1×20/4×20= 20/80, 1×16/5×16= 16/80

between the 20/80, 16/80= 19/80, 18/80, 17/80

so, the answer is

19/80, 18/80, 17/80

I hope it help you sir