1. **State the problems:** - Calculate the results of fraction division and multiplication. - Solve word problems involving fractions and units. 2. **Recall formulas and rules:** - Division of fractions: $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$. - Multiplication of fractions: $\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$. - To convert pounds to ounces: 1 pound = 16 ounces. 3. **Solve each problem step-by-step:** **Problem 1:** $\frac{1}{5} \div \frac{10}{1}$ - Using division rule: $\frac{1}{5} \times \frac{1}{10} = \frac{1}{50}$ **Problem 2:** $\frac{1}{8} \times \frac{14}{1}$ - Multiply numerators and denominators: $\frac{1 \times 14}{8 \times 1} = \frac{14}{8} = \frac{7}{4} = 1 \frac{3}{4}$ **Problem 3:** $16 \div \frac{1}{4}$ - Division by fraction equals multiplication by reciprocal: $16 \times 4 = 64$ **Problem 4:** $10 \div \frac{1}{5}$ - $10 \times 5 = 50$ **Problem 5:** $18 \div 20$ - Rewrite as fraction multiplication: $\frac{18}{1} \times \frac{1}{20} = \frac{18}{20} = \frac{9}{10}$ **Problem 6:** Dime weight problem - Each dime weighs $\frac{1}{12}$ ounce. - Jody has 1 pound = 16 ounces. - Number of dimes = total weight $\div$ weight per dime = $\frac{16}{\frac{1}{12}} = 16 \times 12 = 192$ **Problem 7:** Maddie's coins - Total coins = 180 - Fraction of dimes = $\frac{1}{12}$ - Number of dimes = $180 \times \frac{1}{12} = 15$ 4. **Summary of answers:** - $\frac{1}{5} \div \frac{10}{1} = \frac{1}{50}$ - $\frac{1}{8} \times \frac{14}{1} = \frac{7}{4} = 1 \frac{3}{4}$ - $16 \div \frac{1}{4} = 64$ - $10 \div \frac{1}{5} = 50$ - $18 \div 20 = \frac{9}{10}$ - Jody has about 192 dimes. - Maddie has about 15 dimes.