7. $$ \frac{2}{3}+\frac{6}{9}= $$

Question

UpStudy AI · Accepted Answer

To solve the expression $$ \frac{2}{3} + \frac{6}{9} $$, follow these steps:

1. **Simplify the Fractions (if possible):**
   
   The fraction $$ \frac{6}{9} $$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
   
   $$
   \frac{6 \div 3}{9 \div 3} = \frac{2}{3}
   $$
   
   So, the expression becomes:
   
   $$
   \frac{2}{3} + \frac{2}{3}
   $$

2. **Add the Fractions:**
   
   Since both fractions have the same denominator, you can add the numerators directly:
   
   $$
   \frac{2}{3} + \frac{2}{3} = \frac{2 + 2}{3} = \frac{4}{3}
   $$
   
3. **Simplify the Result (if desired):**
   
   The fraction $$ \frac{4}{3} $$ is an improper fraction and can be expressed as a mixed number:
   
   $$
   \frac{4}{3} = 1 \frac{1}{3}
   $$
   
   However, both $$ \frac{4}{3} $$ and $$ 1 \frac{1}{3} $$ are correct answers depending on the preferred form.

**Final Answer:**  
$$
\frac{2}{3} + \frac{6}{9} = \frac{4}{3}
$$
$$ \frac{2}{3} + \frac{6}{9} = \frac{4}{3} $$

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