Question

find the rational number between 1/4 and 1/3​

Answer 1

Answer:

1/4 = 3/12 < *7/28* < 4/12 = 1/3

Let x,y be rational numbers, then x = a/b and y = c/d for a,b,c,d in integers, let n and m be positive integers:

(ma/b + nc/d)/(m+n) is a weighted mean of x and y,

(mad+bnc )/bd(m+n) is a rational number between x and y for any m,n in positive integers

a=1,b=4 and c=1,d=3

(3m+4n)/12(m+n) gives you a rational number number between 1/4 and 1/3 for any positive integers m,n