Answer :
We have to multiply two numbers, one of which is a mixed number.
We proceed like this:
[tex]\begin{gathered} (-4\text{ 1/6})\cdot\frac{3}{5} \\ -4\cdot\frac{3}{5}-\frac{1}{6}\cdot\frac{3}{5} \\ -\frac{12}{5}-\frac{3}{30} \\ \frac{-12\cdot2}{5\cdot2}-\frac{1}{10} \\ -\frac{24}{10}-\frac{1}{10} \\ -\frac{25}{10} \\ -\frac{5}{2} \end{gathered}[/tex]We appy the distributive property to the mixed number as it is a binomial (sum of a integer and a fraction).
Answer: the result of the product is -5/2 = -2.5.