2 Rosa needs \( 5 \frac{1}{4} \) yards of ribbon for a crafts project. She already has \( 2 \frac{7}{8} \) yards of ribbon. How many more yards of ribbon does she need to buy?

To determine how many more yards of ribbon Rosa needs to buy, we'll subtract the amount she already has from the total amount she needs. **Given:** - **Total ribbon needed:** \( 5 \frac{1}{4} \) yards - **Ribbon already owned:** \( 2 \frac{7}{8} \) yards **Step 1: Convert mixed numbers to improper fractions** 1. \( 5 \frac{1}{4} = \frac{(5 \times 4) + 1}{4} = \frac{21}{4} \) 2. \( 2 \frac{7}{8} = \frac{(2 \times 8) + 7}{8} = \frac{23}{8} \) **Step 2: Find a common denominator** The least common denominator (LCD) for 4 and 8 is 8. Convert \( \frac{21}{4} \) to eighths: \[ \frac{21}{4} = \frac{21 \times 2}{4 \times 2} = \frac{42}{8} \] **Step 3: Subtract the fractions** \[ \frac{42}{8} - \frac{23}{8} = \frac{19}{8} \] **Step 4: Convert the improper fraction back to a mixed number** \[ \frac{19}{8} = 2 \frac{3}{8} \] **Conclusion:** Rosa needs to buy **\( 2 \frac{3}{8} \) yards** of ribbon.