The rational number lies between 3/7 and 2/3 is
Answers
The four numbers lies between 3/7 and 2/3 are 10/21, 11/21, 12/21 and 13/21. More can be calculated multiplying the LCM to a natural number (2, 3, 4, 5...; as 1 already used).
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 rational numbers lies between 3/7 and 2/3 are 10/21, 11/21, 12/21 and 13/21.
However, if we want more rational numbers we can multiply the LCM to a natural number and get more rational numbers between them.