1. **Problem statement:** Arrange the ratios 3:4, 3:8, and 6:10 in ascending order. 2. **Step 1: Convert ratios to fractions for easier comparison.** - 3:4 = $\frac{3}{4} = 0.75$ - 3:8 = $\frac{3}{8} = 0.375$ - 6:10 = $\frac{6}{10} = 0.6$ 3. **Step 2: Compare the decimal values.** - $0.375 < 0.6 < 0.75$ 4. **Step 3: Write the ratios in ascending order based on their decimal values.** - $3:8 < 6:10 < 3:4$ 1. **Problem statement:** Arrange the ratios 8:9, 4:7, and 3:27 in ascending order. 2. **Step 1: Convert ratios to fractions for easier comparison.** - 8:9 = $\frac{8}{9} \approx 0.8889$ - 4:7 = $\frac{4}{7} \approx 0.5714$ - 3:27 = $\frac{3}{27} = \frac{1}{9} \approx 0.1111$ 3. **Step 2: Compare the decimal values.** - $0.1111 < 0.5714 < 0.8889$ 4. **Step 3: Write the ratios in ascending order based on their decimal values.** - $3:27 < 4:7 < 8:9$