[tex]\begin{gathered} \text{Given} \\ 3\frac{1}{5} \end{gathered}[/tex][tex]\begin{gathered} \text{Convert }3\text{ into an improper fraction},\text{ and add along with 1} \\ 3\frac{1}{5}\Longrightarrow\frac{15}{5}+\frac{1}{5} \\ \\ \text{Proceed with the addition} \\ \frac{15}{5}+\frac{1}{5}=\frac{16}{5} \\ \\ \text{The reciprocal of a fraction is turning the numerator into denominator} \\ \text{and vice versa} \\ \\ \text{Therefore, the reciprocal is }\frac{5}{16} \end{gathered}[/tex][tex]\begin{gathered} \text{Reciprocal of }3-\frac{1}{5}\text{ is} \\ \\ \frac{15}{5}-\frac{1}{5}=\frac{14}{5} \\ \\ \frac{14}{5}\Longrightarrow\frac{5}{14} \end{gathered}[/tex]
