To multiply \( \frac{4}{9} \) by 7, you can first write 7 as a fraction:
\[ 7 = \frac{7}{1} \]
Now, multiply the fractions:
\[ \frac{4}{9} \times \frac{7}{1} = \frac{4 \times 7}{9 \times 1} = \frac{28}{9} \]
Next, to convert \( \frac{28}{9} \) into a mixed number, divide 28 by 9:
- 28 divided by 9 is 3 (since \( 9 \times 3 = 27 \)).
- The remainder is \( 28 - 27 = 1 \).
Thus, \( \frac{28}{9} \) can be expressed as:
\[ 3 \frac{1}{9} \]
So, the answer is:
\[ 3 \frac{1}{9} \]