To multiply \( \frac{4}{9} \) by 7, you can express 7 as a fraction, \( \frac{7}{1} \).
Now, multiply the numerators and the denominators:
\[ \frac{4}{9} \times \frac{7}{1} = \frac{4 \times 7}{9 \times 1} = \frac{28}{9} \]
Next, to convert \( \frac{28}{9} \) into a mixed number, divide 28 by 9:
28 divided by 9 is 3 with a remainder of 1, so:
\[ \frac{28}{9} = 3 \frac{1}{9} \]
Therefore, the answer is:
\[ 3 \frac{1}{9} \]