Question

find any two ratoinal numbers between 1/2 and 2/3​

Answer 1

Answer:

31/60 and 32/60 are the rational numbers

Answer 2

Answer:

11/24 and 5/12

Step-by-step explanation:

We know that a rational number between 2 rational numbers a and b is (a+b) /2

So, the rational number between 1/2 and 2/3 is

(1/2 + 2/3) / 2 = (3 + 2) / 6 /2

= 5/6/2 = 5/12

That is 1/2 < 5/12 < 2/3

Then rational number between 1/2 and 5/12

= 1/2 + 5/12 /2

= 6 +5 / 12 /2

= 11 /12 / 2

= 11 /24

Therefore 11/24 and 5/12 are two rational numbers between 1/2 and 2/3

Hope this answer helps you....

Thank you...