So,
We're going to multiply:
[tex]\frac{5}{8}\cdot\frac{2}{9}[/tex]Multiplying numerators and denominators together, we obtain:
[tex]\frac{10}{72}[/tex]Now, to simplify, what we're going to do is to reduce the fraction dividing by a common number. Let's begin dividing by 2:
[tex]\frac{10}{72}=\frac{5}{36}[/tex]As you can see, we can't divide by a common number more times, so, the simplified fraction is 5/36.
