Question

12. Find three rational number between and 3/7 and 2/3

Answer 1

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.

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Answer 2

Answer:

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