Question

find five rqtional no.s between 1/4 and 1/2​

Answer 1

Let x=1/4 & y=1/2

here, 1/4<1/2

no. of rational number to find=5

d= y-x÷n+1

= 1/2-1/4÷5+1

=1/4÷6

=1/4*1/6

=1/24

now,

five rational numbers lying between them are

x+d=1/4+1/24=7/24

x+2d1/4+2*1/24=1/4+2/24=8/24

x+3d=1/4+3/24=9/24

x+4d=1/4+4/24=10/24

x+5d=1/4+5/24=11/24

hence five rational numbers between them are 7/24, 8/24, 9/24, 10/24, 11/2...........