8/2:5/9

To solve the expression \( \frac{8}{2} : \frac{5}{9} \), we first convert the division by a fraction into multiplication by its reciprocal:

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

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

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

Now, substitute back into the equation:

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

Thus, the result of \( \frac{8}{2} : \frac{5}{9} \) is:

\[ \frac{36}{5} \]

If you want a mixed number or decimal, you can convert it:

\[ \frac{36}{5} = 7.2 \]

So, the final answer is \( \frac{36}{5} \) or \( 7.2 \).