ling order. \( \frac{3}{5}, \frac{2}{4}, \frac{3}{8} \)

It looks like you'd like to **arrange the fractions \( \frac{3}{5}, \frac{2}{4}, \frac{3}{8} \) in order**. Depending on whether you want them in **increasing** (from smallest to largest) or **decreasing** (from largest to smallest) order, here's how you can do it: ### Step 1: Convert Fractions to Decimals Converting each fraction to its decimal form makes it easier to compare them. 1. \( \frac{3}{5} = 0.6 \) 2. \( \frac{2}{4} = 0.5 \) (This can also be simplified to \( \frac{1}{2} \)) 3. \( \frac{3}{8} = 0.375 \) ### Step 2: Arrange the Decimals **Increasing Order (Smallest to Largest):** 1. \( \frac{3}{8} = 0.375 \) 2. \( \frac{2}{4} = 0.5 \) 3. \( \frac{3}{5} = 0.6 \) **So, in increasing order:** \[ \frac{3}{8}, \frac{2}{4}, \frac{3}{5} \] --- **Decreasing Order (Largest to Smallest):** 1. \( \frac{3}{5} = 0.6 \) 2. \( \frac{2}{4} = 0.5 \) 3. \( \frac{3}{8} = 0.375 \) **So, in decreasing order:** \[ \frac{3}{5}, \frac{2}{4}, \frac{3}{8} \] ### Alternative Method: Common Denominator If you prefer to compare fractions without converting to decimals, you can find a common denominator. 1. **Find the Least Common Denominator (LCD):** - The denominators are 5, 4, and 8. - LCD of 5, 4, and 8 is 40. 2. **Convert Each Fraction:** - \( \frac{3}{5} = \frac{24}{40} \) - \( \frac{2}{4} = \frac{20}{40} \) - \( \frac{3}{8} = \frac{15}{40} \) 3. **Arrange Based on Numerators:** - **Increasing Order:** \( \frac{15}{40}, \frac{20}{40}, \frac{24}{40} \) → \( \frac{3}{8}, \frac{2}{4}, \frac{3}{5} \) - **Decreasing Order:** \( \frac{24}{40}, \frac{20}{40}, \frac{15}{40} \) → \( \frac{3}{5}, \frac{2}{4}, \frac{3}{8} \) Both methods will give you the same result. Choose the one you're more comfortable with!