The rational number lies between 3 7 and 2 3
Asked by admin @ in Math viewed by 338 People
Find rational number lies between 3/7 and 2/3 is (1) . 2/5 ,(2). 4/7 ,(3) 3/ 7,(4). 2/3
Asked by admin @ in Math viewed by 338 People
Find rational number lies between 3/7 and 2/3 is (1) . 2/5 ,(2). 4/7 ,(3) 3/ 7,(4). 2/3
Answered by admin @
(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.
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