4 5/9 as an improper fraction

To convert the mixed number \( 4 \frac{5}{9} \) into an improper fraction, follow these steps:

1. Multiply the whole number by the denominator: \[ 4 \times 9 = 36 \]

2. Add the numerator to the result: \[ 36 + 5 = 41 \]

3. Place this result over the original denominator: \[ \frac{41}{9} \]

Therefore, the improper fraction for \( 4 \frac{5}{9} \) is \( \frac{41}{9} \).