Answer: yes we can write nine proper and nine improper fraction with help of these given numbers.
Explanation: Since, a proper fraction is a fraction which has the value less than 1, that is, the value of numerator is less than the value of denominator.
For example p/q is a proper fraction if p<q.
On the other hand, In Improper fraction numerator is greater than denominator.
Since, given numbers are 3,5 and 8
So, the possible proper fractions= [tex]\frac{3}{5},\frac{3}{8} \frac{5}{8},\frac{3}{5.8},\frac{5}{3.8}, \frac{8}{5.3},\frac{3}{5+8},\frac{5}{3+8}, \frac{5-3}{8}[/tex]⇒[tex]\frac{3}{5},\frac{3}{8} \frac{5}{8},\frac{3}{40},\frac{5}{24}, \frac{8}{15},\frac{3}{13},\frac{5}{11}, \frac{1}{4}[/tex]
Similarly, the possible improper fraction= [tex]\frac{5}{3},\frac{8}{3} \frac{8}{5},\frac{40}{3},\frac{24}{5}, \frac{15}{8},\frac{13}{3},\frac{11}{5}, \frac{19}{3}[/tex] ( Here, [tex]8-\frac{5}{3}=\frac{19}{3}[/tex] )
