8/2:5/9

To solve the expression \( \frac{8}{2} : \frac{5}{9} \), we first express the division as multiplication by the reciprocal:

\[ \frac{8}{2} \div \frac{5}{9} = \frac{8}{2} \times \frac{9}{5} \]

Now, let's simplify \( \frac{8}{2} \):

\[ \frac{8}{2} = 4 \]

So the expression now looks like:

\[ 4 \times \frac{9}{5} \]

Next, multiply:

\[ 4 \times \frac{9}{5} = \frac{36}{5} \]

Thus, the final answer is:

\[ \frac{36}{5} \text{ or } 7.2 \]