To find out how many members are in the middle school band, we can use the information that the middle school band has \( \frac{2}{9} \) as many members as the high school band, which has 502 members.
First, we calculate \( \frac{2}{9} \) of 502:
\[ \text{Middle school members} = \frac{2}{9} \times 502 \]
Calculate this step by step:
- \( 502 \div 9 \approx 55.777 \) (This is approximately 55.78)
- Now multiply by 2: \[ 55.78 \times 2 \approx 111.56 \]
Since we are looking for whole members, we can round this to the nearest whole number, which gives us approximately 112.
Thus, the number of members in the middle school band is approximately 112.