Find 5 rational number between 1 and 2

1.	Find 5 rational number between 1 and 2
Answer» 7/6,8/6,9/6,10/6,11/6 Let the two given numbers be a and b respectively a= 1 and b=2We know that the rational number between a and b is given by (a + b)/2So the rational number between 1 and 2 = (1+2)/2 = 3/2Then, Rational number between 1 and 3/2 =[1+(3/2)]/2 = 5/4Then Rational number between 1 and 5/4 =[1+(5/4)]/2 = 9/8Then Rational number between 3/2 and 2 =[(3/2) + 2]/2 = 7/4Then 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 We can write 1 and 2 as rational numbers with denominator 61=6/6,2=12/6Then 7/6,8/6,9/6,10/6,and11/6are the numbers between 1 and 2.So, five rational numbers are 7/6,4/3,3/2,5/3 and 11/6.

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