Answer:
For example 1/1, 2/3 and 4/3
Step-by-step explanation:
There is a great way to generate rational numbers between other rational numbers using:
[tex]\textrm{If:~~~~~~} \frac{a}{b} < \frac{c}{d}\vspace{7pt}\\\textrm{Then:~} \frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}[/tex]
So we know that (1+3)/(2+2) is between 1/2 and 3/2 without checking.
(1+3)/(2+2) = 1/1, so we got our first rational number.
Lets continue by finding numbers between 1/2 and 1/1; and 1/1 and 3/2
(1+1)/(2+1) = 2/3
(1+3)/(1+2) = 4/3
We could also look for a number between 1/2 and 2/3 and find
(1+2)/(2+3) = 3/5
And so on, so forth :)
