Question

find rational number lies between 3/7 and 2/3 is (1) . 2/5 ,(2). 4/7 ,(3) 3/ 7,(4). 2/3

Answer 1

(2) 4/7 is the answer.

Explanation:

We have to compare both numbers 3/7 and 2/3, and find middle rational numbers.

The LCM of 3 and 7 is 21

On multiplying both rational numbers accordingly it became;

3/7 and 7/21

=> (3/7) (3/3) and (2/3) (7/7)

=> 9/21 and 14/21

Now we have to find out rational numbers between 9/21 and 14/21.

As denominator are now same, the numerator values between 9 and 14 will lie between these two rational numbers.

So the numbers lies between 3/7 and 2/3 are 10/21, 11/21, 12/21 and 13/21.

Now 12/21 = (4*3)/(7*3) =4/7 is the answer.

Answer 2

here is your answer