2. How can you use equivalent fractions to find \( 4 \frac{2}{8}+1 \frac{1}{8} \) ?

To add the mixed numbers \(4 \frac{2}{8}\) and \(1 \frac{1}{8}\) using equivalent fractions, follow these steps: 1. **Ensure the Fractions Have the Same Denominator:** Both fractions already have the same denominator of 8: \[ \frac{2}{8} \quad \text{and} \quad \frac{1}{8} \] *If they had different denominators, you would convert them to equivalent fractions with a common denominator before proceeding.* 2. **Add the Whole Numbers:** Add the whole number parts of each mixed number: \[ 4 + 1 = 5 \] 3. **Add the Fractional Parts:** Since the denominators are the same, simply add the numerators: \[ \frac{2}{8} + \frac{1}{8} = \frac{2 + 1}{8} = \frac{3}{8} \] 4. **Combine the Sums:** Combine the sum of the whole numbers with the sum of the fractions: \[ 5 + \frac{3}{8} = 5 \frac{3}{8} \] **Final Answer:** \[ 4 \frac{2}{8} + 1 \frac{1}{8} = 5 \frac{3}{8} \]