Find five rational numbers between 3 and 4

Given

Given two numbers 3 and 4

Find out

We need to find a rational number between 3 and 4

Solution

Let the two given numbers be a and b respectively a= 3 and b=4

We know that the rational number between a and b is given by (a + b)/2

So the rational number between 3 and 4 = (3+4)/2 = 7/2

Then, Rational number between 3 and 7/2 =[3+(7/2)]/2 = 13/4

Then Rational number between 13/4 and 3 =[(13/4) + 3]/2 = 25/8

Then Rational number between 4 and 7/2 =[4+(7/2)]/2 = 15/4

Then Rational number between 13/4 and 4 =[(13/4) + 4]/2 = 29/8

Hence the five rational numbers between 3 and 4 are 7/2, 13/4, 25/8, 15/4, and 29/8

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