Question

Find four rational number between
$\frac{1}{4} and \frac{2}{3}$

Answer 1

HEY!!

To find rationals between 1/4 and 2/3 first of all equalize the denominator. here lcm is 12 so we get

3/12 and 8/12

Now you can get the rational nos. 4/12,5/12,6/12,7/12

ANS) 1/3, 5/12,1/2,7/12

Answer 2

First rational number :-

(1/4 +2/3)/2 = [(3+8)/12]/2

[(11)/12]/2

11/24
_____________


Second rational number :-

(11/24 +1/4)/2

[(11+6)/24]/2

17/48

_________

Third rational number :-

(2/3 +11/24)/2

[(16+11)/24]/2

27/48

___________


Fourth rational number :-

(27/48 +17/48)/2

(44/48)/2

44/96



I hope this will help you



-by ABHAY