8/2:5/9

To solve the expression \( \frac{8}{2} : \frac{5}{9} \), we first simplify the division of fractions.

Dividing by a fraction is the same as multiplying by its reciprocal. Therefore,

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

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

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

Now we continue with the multiplication:

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

So, the final result is:

\[ \frac{36}{5} \quad \text{or} \quad 7.2 \quad \text{(as a decimal)} \]