Answer:
Following are the solution to this question:
Step-by-step explanation:
Let [tex]\frac{a}{b} \ \ and \ \ \frac{c}{d}[/tex] both are the rationalnumbers and for both numbers there is not a greatest distance. so, the value [tex]\frac{c}{d}[/tex] must have greatest for the value [tex]\frac{c}{d}[/tex] and the c is maximum and d is minimum.
if c= 5 and d=2
[tex]\to \frac{c}{d} = \frac{5}{2}=2.5[/tex]
Similarly:
[tex]\to \frac{a}{b}[/tex]
a=3 and b=4
[tex]\to \frac{a}{b}=\frac{3}{4} = 0.75[/tex]
so, the [tex]\frac{a}{b} \ \ and \ \ \frac{c}{d}[/tex] is at the great distance.