To find out how many members are in the middle school band, we can use the information given in the problem.
The high school band has 502 members, and the middle school band has \( \frac{2}{9} \) as many members as the high school band.
To find the number of middle school band members, multiply the number of high school members by \( \frac{2}{9} \):
\[ \text{Number of middle school band members} = \frac{2}{9} \times 502 \]
Now, calculate:
- Compute \( \frac{502}{9} \):
\[ 502 \div 9 \approx 55.777 \]
- Now multiply by 2:
\[ \frac{2}{9} \times 502 \approx 2 \times 55.777 \approx 111.556 \]
Rounding this to the nearest whole number gives approximately 112.
Thus, the number of members in the middle school band is approximately 112.