द राशनल नंबर बिटवीन 1/2 and 1/3
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3/8 , 5/12 , 11/24. are the rational number between 1/2 & 1/3
explanation
Let us find 3 rational number between 1/2 & 1/3.
By using formulla (a+b)/2 ,we get
1/3+1/2÷2 = 5/6×1/2 = 5/12
so, 5/12 is a rational number which lies between 1/2 & 1/3.
Now, we find the mean of 1/3 & 5/12.
(1/3+5/12)÷2 = (4+5)/12÷2 = 9/12×1/2 = 9/24 = 3/8
Now ,we find a rational number between 5/12 & 1/2.
For this we find the mean of 5/12 & 1/2.
(5/12+1/2)÷2 = (5+6)/12÷2 = 11/12×1/2 = 11/24
So, 11/24 is a rational number between 5/12 & 1/2.
Now, we have 1/3<3/8<5/12<11/24<1/2 .
Thus, 3/8 , 5/12 & 11/24 are three rational number between 1/3 & 1/2 .
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