2/9+4/7:9/28

To solve the expression \( \frac{2}{9} + \frac{4}{7} : \frac{9}{28} \), we should first address the division part.

The expression can be rewritten as:

\[ \frac{2}{9} + \left( \frac{4}{7} \div \frac{9}{28} \right) \]

To divide by a fraction, we multiply by its reciprocal:

\[ \frac{4}{7} \div \frac{9}{28} = \frac{4}{7} \times \frac{28}{9} \]

Now we can simplify \( \frac{4 \times 28}{7 \times 9} \):

1. Simplify \( \frac{28}{7} = 4 \), so:

\[ \frac{4 \times 4}{9} = \frac{16}{9} \]

Now substitute this back into the original expression:

\[ \frac{2}{9} + \frac{16}{9} \]

Since both fractions have the same denominator, we can add them directly:

\[ \frac{2 + 16}{9} = \frac{18}{9} = 2 \]

Therefore, the final result is:

\[ \boxed{2} \]