Question

Why LCM method has an advantage over average method in finding rational numbers between two rational numbers​

Answer 1

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Step-by-step explanation:

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