Given the following expression:
[tex](\frac{3}{4})\cdot(-\frac{5}{3})[/tex]first, notice that since we are multiplying a positive and a negative number, the result will be negative.
Then, we can multiply and commute to get the following:
[tex](\frac{3}{4})\cdot(-\frac{5}{3})=-(\frac{3}{4}\cdot\frac{5}{3})=-(\frac{3\cdot5}{4\cdot3})=-(\frac{3\cdot5}{3\cdot4})=-\frac{5}{4}[/tex]thus, the simplified expression is -5/4