6. Solve Show your work to the side ( 2 points) A store sells packages of blue erasers, pirik ercibers, and prowhe erasers. \( \frac{1}{2} \) of the packages are bive erasers \( \frac{1}{9} \) of the packages are pink erasers What fraction of the packages are purple erasers'?

To find the fraction of packages that are purple erasers, we need to first determine the total fraction of packages accounted for by both the blue and pink erasers. 1. **Calculating the total fraction for blue and pink erasers**: - Blue erasers: \( \frac{1}{2} \) - Pink erasers: \( \frac{1}{9} \) 2. **Finding a common denominator**: - The common denominator for 2 and 9 is 18. - Convert the fractions: - Blue: \( \frac{1}{2} = \frac{9}{18} \) - Pink: \( \frac{1}{9} = \frac{2}{18} \) 3. **Adding the fractions together**: \[ \frac{9}{18} + \frac{2}{18} = \frac{11}{18} \] 4. **Finding the fraction of purple erasers**: - Since the total for blue and pink erasers is \( \frac{11}{18} \), the fraction that represents purple erasers is: \[ 1 - \frac{11}{18} = \frac{7}{18} \] Thus, the fraction of the packages that are purple erasers is \( \frac{7}{18} \).