Question

find three rational numbers lying between 3 by 5 and 7 by 8 how many rational numbers can be determined between these two numbers

Answer 1

common difference=y-x/n+1

here,
x=3/7
y=7/8
n=3

d=7/8-3/7÷3+1
25/56

three rational no between 3/7and7/8

$(x + d) \\( x + 2d) \\ (x + 3d)$

i =3/7+25/56=49/56
ii=3/7+25/28=37/28
iii=3/7+75/56=99/56