Given the expression;
[tex]\frac{17}{33}.\frac{3}{5}[/tex]This is a multiplication. The dot (or period) is used to denote multiplication in math. Hence, we would have;
[tex]\begin{gathered} \frac{17}{33}\times\frac{3}{5}\Rightarrow\frac{17}{11}\times\frac{1}{5} \\ \text{This can also be re-written as;} \\ \frac{17\times1}{11\times5}\Rightarrow\frac{17}{55} \end{gathered}[/tex]The answer therefore is 17/55
[tex]\frac{17}{55}[/tex]**Note that, while solving the fraction at the first step, the number 3 cancels out itself while at the same time reduces 33 to 11 (that is 3 goes into 33 eleven times)**