Question

insert two rational numbers between 1/2 and1/3

Answer 1

Let see your answer !!!!!

Let x = 1/3 ; y = 1/2

y > x ; n = 2

d = y - x / n + 1

$= \frac{ \frac{1}{2} - \frac{1}{3} }{2 + 1} \\ \\ = \frac{ \frac{3 - 2}{6} }{3} \\ \\ = \frac{ \frac{1}{6} }{3} \\ \\ = \frac{1}{6} \div 3 \\ \\ = \frac{1}{6} \times \frac{1}{3} \\ \\ = \frac{1}{18}$


1st rational number = x + d

= 1/3 + 1/18

= 6 + 1/18

= 7/18

2nd rational number = x + 2d

= 1/3 + 2 × 1/18

= 1/3 + 1/9

= 3 + 1/9

= 4/9





Thanks :)))))

Answer 2

1/2*3/3 , 1/3*2/2
=3/6 , 2/6
3/6*4/4 , 2/6*4/4
=12/24 , 8/24
Therefore, two rational no. between 1/2 and1/3 are 13/24 and 7/12