Find five rotational number between 1and 2

iven two numbers 1 and 2

We need to find a rational number between 1 and 2

Solution

Let the two given numbers be a and b respectively

a= 1 and b=2

We know that the rational number between a and b is given by (a + b)/2
So the rational number between 1 and 2 = (1+2)/2 = 3/2
Then,

Rational number between 1 and 3/2

=[1+(3/2)]/2

= 5/4

Then

Rational number between 1 and 5/4

=[1+(5/4)]/2

= 9/8
Then

Rational number between 3/2 and 2

=[(3/2) + 2]/2

= 7/4
Then

Rational number between 7/4 and 2

=[(7/4) + 2]/2

= 15/8

Hence the five rational numbers between 1 and 2 are 3/2, 5/4, 7/4, 9/8, and 15/8

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