Question: User: A. $\frac{2}{3}$ B. $1 \frac{1}{2}$ C. $3 \frac{7}{8}$ D. $\frac{7}{10}$ 8. Which of the following fractions could you use to cause the expression below to result in a quantity greater than 200. $200 \times \_$ Select ALL that apply: A. $\frac{1}{4}$ B. $1 \frac{1}{4}$ C. $\frac{7}{8}$ D. $\frac{5}{3}$ 9. What is the value of the expression in simplest form? $\frac{7}{8} \div \frac{3}{4}$ 10. A gallon of water weighs approximately 7.2 pounds. An aquarium tank holds 11.4 gallons when filled to capacity. How much will the water in the aquarium weigh? ______ pounds 11. In one week, Kyla’s plant grew 0.68 inch, Connor’s plant grew $\frac{1}{2}$ inch, Lucy’s plant grew 0.55 inch, and Maggie’s plant grew $\frac{2}{3}$ inch. Order the amounts from least to greatest. ______ ______ ______ ______ 12. Maggie has 21.25 pounds of feed to separate into $1 \frac{1}{4}$ pounds of individual feeds for her cow. How many times can she feed her cow? ______ times

1. **Problem 8:** Determine which fractions make $200 \times \text{fraction} > 200$. 2. **Rule:** For $200 \times x > 200$, we need $x > 1$. 3. Check each fraction: - A: $\frac{1}{4} = 0.25 < 1$ (No) - B: $1 \frac{1}{4} = 1 + \frac{1}{4} = 1.25 > 1$ (Yes) - C: $\frac{7}{8} = 0.875 < 1$ (No) - D: $\frac{5}{3} = 1.666... > 1$ (Yes) 4. **Answer for 8:** B and D. --- 5. **Problem 9:** Simplify $\frac{7}{8} \div \frac{3}{4}$. 6. **Formula:** Division of fractions: $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$. 7. Apply formula: $$\frac{7}{8} \div \frac{3}{4} = \frac{7}{8} \times \frac{4}{3}$$ 8. Multiply numerators and denominators: $$= \frac{7 \times 4}{8 \times 3} = \frac{28}{24}$$ 9. Simplify fraction: $$\frac{28}{24} = \frac{\cancel{28}^{7 \times 4}}{\cancel{24}^{6 \times 4}} = \frac{7}{6}$$ 10. **Answer for 9:** $\frac{7}{6}$. --- 11. **Problem 10:** Find weight of water in aquarium. 12. Given: 1 gallon weighs 7.2 pounds, tank holds 11.4 gallons. 13. Multiply gallons by weight per gallon: $$11.4 \times 7.2 = 82.08$$ 14. **Answer for 10:** 82.08 pounds. --- 15. **Problem 11:** Order plant growth amounts from least to greatest. 16. Given: - Kyla: 0.68 inch - Connor: $\frac{1}{2} = 0.5$ inch - Lucy: 0.55 inch - Maggie: $\frac{2}{3} \approx 0.6667$ inch 17. Order numerically: $$0.5 < 0.55 < 0.6667 < 0.68$$ 18. Corresponding names: Connor (0.5), Lucy (0.55), Maggie (0.6667), Kyla (0.68) 19. **Answer for 11:** Connor, Lucy, Maggie, Kyla. --- 20. **Problem 12:** How many times can Maggie feed her cow? 21. Given: Total feed = 21.25 pounds, feed per time = $1 \frac{1}{4} = 1.25$ pounds. 22. Divide total feed by feed per time: $$\frac{21.25}{1.25}$$ 23. Simplify division: $$\frac{21.25}{1.25} = 17$$ 24. **Answer for 12:** 17 times.