The given expression is
[tex]3\frac{2}{5}\colon\frac{17}{10}[/tex]First, we transform the mixed number into a fraction.
[tex]3\frac{2}{5}=\frac{3\cdot5+2}{5}=\frac{15+2}{5}=\frac{17}{5}[/tex]Then, we use this fraction.
[tex]\frac{17}{5}\colon\frac{17}{10}[/tex]Now, we flip the fraction 17/10 to transform the operation into a product.
[tex]\frac{17}{5}\cdot\frac{10}{17}=\frac{10}{5}=2[/tex]