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

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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

$$
\frac{2}{9} \text{ becomes } \frac{10}{45}
$$
$$
\frac{13}{15} \text{ becomes } \frac{39}{45}
$$
$$ \frac{2}{9} = \frac{10}{45} $$ $$ \frac{13}{15} = \frac{39}{45} $$

Revite and as fractions with a least common denominatoro. (Do NOT reduce the fractions)

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