1. **Problem 6:** Yuna runs 2 1/4 miles and Ryan runs 5 1/2 miles. We need to find how many times as far as Ryan does Yuna run. 2. Convert mixed numbers to improper fractions: - Yuna: $2 \frac{1}{4} = \frac{9}{4}$ - Ryan: $5 \frac{1}{2} = \frac{11}{2}$ 3. To find how many times as far Yuna runs compared to Ryan, divide Yuna's distance by Ryan's distance: $$\frac{9}{4} \div \frac{11}{2} = \frac{9}{4} \times \frac{2}{11} = \frac{18}{44}$$ 4. Simplify the fraction: $$\frac{18}{44} = \frac{9}{22}$$ 5. **Answer:** Yuna runs $\frac{9}{22}$ times as far as Ryan. --- 6. **Problem 7:** Write a word problem for the expression $\frac{2}{6} + \frac{1}{3}$. 7. Example word problem: "Sarah ate $\frac{2}{6}$ of a pizza and then ate another $\frac{1}{3}$ of the pizza. How much pizza did Sarah eat in total?" --- 8. **Problem 8:** Tyler's tomato weighs $\frac{3}{4}$ pounds, Lisa's tomato weighs $1 \frac{1}{5}$ pounds. Find what fraction of Lisa's tomato's weight is Tyler's tomato's weight. 9. Convert Lisa's tomato weight to improper fraction: $$1 \frac{1}{5} = \frac{6}{5}$$ 10. Find the fraction: $$\frac{\text{Tyler's weight}}{\text{Lisa's weight}} = \frac{\frac{3}{4}}{\frac{6}{5}} = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}$$ 11. Simplify the fraction: $$\frac{15}{24} = \frac{5}{8}$$ 12. **Answer:** Tyler's tomato weighs $\frac{5}{8}$ of Lisa's tomato. --- 13. **Problem 9:** Add $\frac{2}{5} + \frac{3}{7}$. 14. Find common denominator: $35$. 15. Convert fractions: $$\frac{2}{5} = \frac{14}{35}, \quad \frac{3}{7} = \frac{15}{35}$$ 16. Add: $$\frac{14}{35} + \frac{15}{35} = \frac{29}{35}$$ 17. **Answer:** $\frac{29}{35}$ --- 18. **Problem 10:** Add $\frac{3}{8} + \frac{2}{5}$. 19. Common denominator: $40$. 20. Convert fractions: $$\frac{3}{8} = \frac{15}{40}, \quad \frac{2}{5} = \frac{16}{40}$$ 21. Add: $$\frac{15}{40} + \frac{16}{40} = \frac{31}{40}$$ 22. **Answer:** $\frac{31}{40}$ --- 23. **Problem 11:** Subtract $\frac{4}{5} - \frac{2}{7}$. 24. Common denominator: $35$. 25. Convert fractions: $$\frac{4}{5} = \frac{28}{35}, \quad \frac{2}{7} = \frac{10}{35}$$ 26. Subtract: $$\frac{28}{35} - \frac{10}{35} = \frac{18}{35}$$ 27. **Answer:** $\frac{18}{35}$ --- 28. **Problem 12:** Subtract $\frac{7}{9} - \frac{2}{5}$. 29. Common denominator: $45$. 30. Convert fractions: $$\frac{7}{9} = \frac{35}{45}, \quad \frac{2}{5} = \frac{18}{45}$$ 31. Subtract: $$\frac{35}{45} - \frac{18}{45} = \frac{17}{45}$$ 32. **Answer:** $\frac{17}{45}$