Question

find the 4 rational number between the given of the following rational number​

Answer 1

Answer:

The rational number between a and b is (a + b)/2

Hence rational number between 1 and 2 is (1+2)/2 = 3/2 = 1.5

Rational number between 1 and 3/2 is [1+(3/2)]/2 = 5/4 = 1.25

Rational number between 1 and 5/4 is [1+(5/4)]/2 = 9/8 = 1.125

Rational number between 3/2 and 2 is [(3/2) + 2]/2 = 7/4= 1.75

Therefore four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4

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Answer 2

Answer:

let rational no be a and b

1st rational number between a & b = a+b / 2

2nd = (a + a+b/2) / 2 = 3a + b/4

3rd = 3b + a /4

4th = (3a + b/ 4) + (a) / 2 = 7a + b/8