Question

find five rational numbers between
a.1/4and3/4
b. 2/7and 5/7
pls ​

Answer 1

Answer:

Step-by-step explanation:

a).

sol : let the five rational no. between 1/4 and 3/4 be a1 ,a2 ,a3 and a4

and let 1/4 be a and 3/4 be b

now finding the rational no. how much = n

then n = 5

now d= b-a/n+1

= (3/4-1/4) / 5+1

= { (3-1 ) / 4 } / 6

= (2/4) / 6

= 2/4*1/6

d = 2/24

now

a1 = a+d

= 1/3+2/24

= (8+2) /24

= 10/24

= 5/12

a2 = a+2d

=1/3+2*2/24

=1/3+2/12

= (4+2) / 12

= 6/12

=2

a3 = a+3d

= 1/3+3*2/24

= 1/3+2/8

= (8+3) / 24

= 11/24

a4= a+4d

= 1/3+4*2/24

= 1/3+2/6

= (2+2) /6

= 4/6

= 2/3

hence the answer is 5/15 , 2 , 11/24 and 2/3 are the 4 required rational no. .