Given the fraction 3 and 2 fifths,
[tex]2\text{fifths}=\frac{2}{5}[/tex]Converting 3 and 2/5 to mixed fraction,
Mixed fraction is the combination of a whole number and a proper fractiion.
A proper fraction is the fraction with the numerator smaller than the denominator.
Therefore,
[tex]\begin{gathered} 3\text{ and}\frac{\text{ 2}}{5}\text{ to mixed fraction will be,} \\ 3+\frac{2}{5}=3\frac{2}{5} \end{gathered}[/tex]Hence, 3 and 2/5 to mixed fraction is,
[tex]=3\frac{2}{5}[/tex]Let us now convert 3 2/5 to improper fraction,
[tex]\begin{gathered} 3\frac{2}{5}=\frac{(3\times5)+2}{5} \\ =\frac{15+2}{5}=\frac{17}{5} \end{gathered}[/tex]Hence, 3 2/5 to improper fraction is 17/5.
Option D is correct answer.