To find the number of members in the middle school band, you can multiply the number of high school band members by the fraction representing the middle school band members.
Given:
- High school band members = 502
- Middle school band members = \( \frac{2}{9} \) of high school band members
Now calculate \( \frac{2}{9} \) of 502:
\[ \text{Middle school band members} = \frac{2}{9} \times 502 \]
First, calculate \( 502 \div 9 \):
\[ 502 \div 9 \approx 55.78 \]
Now, multiply by 2:
\[ \frac{2}{9} \times 502 \approx 2 \times 55.78 \approx 111.56 \]
Since the number of members must be a whole number, you can round this to the nearest whole number:
\[ \approx 112 \]
Thus, the middle school band has approximately 112 members.