Revite \( \frac{2}{9} \) and \( \frac{13}{15} \) as fractions with a least common denominatoro. (Do NOT reduce the fractions) \( \frac{2}{9} \) becomes \( \square \) \( \square \) \[ \frac{13}{15} \] becomes \( \square \) Question Help: Video Message instructor Post to forum Submit Question to search

To rewrite the fractions \(\frac{2}{9}\) and \(\frac{13}{15}\) with the **least common denominator (LCD)**, follow these steps: ### Step 1: Find the Least Common Denominator (LCD) 1. **Factor the denominators:** - \(9 = 3^2\) - \(15 = 3 \times 5\) 2. **Determine the LCD:** - The LCD is the product of the highest powers of all prime factors present. - \(LCD = 3^2 \times 5 = 45\) ### Step 2: Rewrite Each Fraction with the LCD 1. **Rewrite \(\frac{2}{9}\):** - **Multiply the numerator and denominator by 5** to get the denominator to 45. \[ \frac{2}{9} = \frac{2 \times 5}{9 \times 5} = \frac{10}{45} \] 2. **Rewrite \(\frac{13}{15}\):** - **Multiply the numerator and denominator by 3** to get the denominator to 45. \[ \frac{13}{15} = \frac{13 \times 3}{15 \times 3} = \frac{39}{45} \] ### Final Answer \[ \frac{2}{9} \text{ becomes } \frac{10}{45} \] \[ \frac{13}{15} \text{ becomes } \frac{39}{45} \]