A farmer's land is separated Into sections of size \( 2 \frac{1}{5} \) acres. Suppose there are \( 2 \frac{2}{9} \) such sections. How many acres of land does the farmer own? Write your answer as a mixed number in simplest form. \( \square \) acres

To find out the total acres of land the farmer owns, we need to multiply the size of each section by the number of sections: 1. Convert the mixed numbers to improper fractions: - \( 2 \frac{1}{5} = \frac{11}{5} \) - \( 2 \frac{2}{9} = \frac{20}{9} \) 2. Multiply these two fractions: \[ \frac{11}{5} \times \frac{20}{9} = \frac{11 \times 20}{5 \times 9} = \frac{220}{45} \] 3. Simplify \( \frac{220}{45} \): - Find the GCD of 220 and 45, which is 5. \[ \frac{220 \div 5}{45 \div 5} = \frac{44}{9} \] 4. Convert \( \frac{44}{9} \) back to a mixed number: - \( 44 \div 9 = 4 \) with a remainder of \( 8 \). - So, \( \frac{44}{9} = 4 \frac{8}{9} \). The farmer owns \( 4 \frac{8}{9} \) acres of land.