3 8/9 : 5

To divide \(3 \frac{8}{9}\) by 5, you can first convert the mixed number into an improper fraction.

1. Convert \(3 \frac{8}{9}\) into an improper fraction: \[ 3 \frac{8}{9} = \frac{(3 \times 9) + 8}{9} = \frac{27 + 8}{9} = \frac{35}{9} \]

2. Now, divide \(\frac{35}{9}\) by 5. Dividing by a whole number is the same as multiplying by its reciprocal: \[ \frac{35}{9} \div 5 = \frac{35}{9} \times \frac{1}{5} = \frac{35 \times 1}{9 \times 5} = \frac{35}{45} \]

3. Simplify \(\frac{35}{45}\): \[ \frac{35}{45} = \frac{7}{9} \]

Thus, \(3 \frac{8}{9} \div 5 = \frac{7}{9}\).