Question

insert 2 rational numbers between 1/2 and 1/3

Answer 1

Listen, first make denominator same to multiply
1/2×3/3 and 1/3×2/2
then 3/6 and 2/6

than if we wanna get 2 rational numbers than multiply 3 in both

So, 3/6×3/3 and 2/6×3/3

= 9/18 and 6/18
= answer is 10/18 and 11/18

Answer 2

Firstly we should make the given rational numbers like(with same denominator).

For this we need the LCM of 2 and 3=6.

1/2*3/3=3/6.
1/3*2/2=2/6.

Evven now we don't even have a rational number between the given rational numbers.

So,we should multiply the rational numbers with any number greater than or equal to 3.

Multiplying with 3:

3/6*3/3=9/18.
2/6*3/3=6/18.

Now,we exactly have 2 rational numbers between the given rational numbers.

They are 7/18 and 8/18(4/9).

We can add on to this collection by multiplying 2/6 and 3/6 by 4,5 and so on.