Question

find five rational number between 1 and 2​

Answer 1

Answer:

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

Answer 2

$\rm1 \: and \: 2 \\ \\ \rm \frac{1}{1} \: and \: \frac{2}{1} = \frac{1 \times 6}{1 \times 6} \: and \: \frac{2 \times 6 }{1 \times 6} \\ \\ \rm = \frac{6}{6} \: and \: \frac{12}{6 } \\ \\ \sf \: here \: 5 \: rational \: numbers \: are \: \\ \frac{7}{6} . \frac{8}{6} . \frac{9}{6} . \frac{10}{6} . \frac{11}{6}$