Multiple Choice Question Determine the Common Denominator Flnd equivalent fractions with a common denominator for $$ \frac{3}{4} $$ and $$ \frac{2}{3} $$. ? $$ \frac{6}{12} $$ and $$ \frac{4}{12} $$ $$ \frac{3}{12} $$ and $$ \frac{2}{12} $$ O $$ \frac{9}{12} $$ and $$ \frac{8}{12} $$ D and $$ \frac{8}{16} $$

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To determine equivalent fractions for $$ \frac{3}{4} $$ and $$ \frac{2}{3} $$ with a common denominator, follow these steps:

1. **Find the Least Common Denominator (LCD):**
   - The denominators are 4 and 3.
   - The least common multiple of 4 and 3 is 12.

2. **Convert each fraction to have the LCD of 12:**
   - For $$ \frac{3}{4} $$:
     $$
     \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}
     $$
   - For $$ \frac{2}{3} $$:
     $$
     \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}
     $$

3. **Resulting Equivalent Fractions:**
   - $$ \frac{3}{4} = \frac{9}{12} $$
   - $$ \frac{2}{3} = \frac{8}{12} $$

**Therefore, the equivalent fractions with a common denominator are $$ \frac{9}{12} $$ and $$ \frac{8}{12} $$.**

**Answer:**  
$$ \frac{9}{12} $$ and $$ \frac{8}{12} $$
The equivalent fractions with a common denominator are $$ \frac{9}{12} $$ and $$ \frac{8}{12} $$.

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