1. **State the problem:** Arrange the ratios 1:2, 3:4, and 4:5 in ascending order. 2. **Convert ratios to fractions:** Ratios can be expressed as fractions for easier comparison. - 1:2 = $\frac{1}{2}$ - 3:4 = $\frac{3}{4}$ - 4:5 = $\frac{4}{5}$ 3. **Find a common denominator:** To compare fractions, convert them to have the same denominator. - The denominators are 2, 4, and 5. - The least common denominator (LCD) is 20. 4. **Convert each fraction:** - $\frac{1}{2} = \frac{1 \times 10}{2 \times 10} = \frac{10}{20}$ - $\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}$ - $\frac{4}{5} = \frac{4 \times 4}{5 \times 4} = \frac{16}{20}$ 5. **Compare the numerators:** - $10 < 15 < 16$ 6. **Write the ratios in ascending order:** - 1:2, 3:4, 4:5 **Final answer:** The ratios in ascending order are 1:2, 3:4, and 4:5.