Question

Find the 7 rational numbers between 1 and 2

Answer 1

Answer:

1/2,1/3,1/4,1/5,1/6,1/7,1/8.

Step-by-step explanation:

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Answer 2

=Given 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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