Combine and simplify $$ \frac{5}{7}-\frac{1}{2} $$

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To combine and simplify the expression $$ \frac{5}{7} - \frac{1}{2} $$, follow these steps:

1. **Find a Common Denominator:**
   
   The denominators are 7 and 2. The least common denominator (LCD) is the smallest number that both denominators divide into, which is 14.

2. **Convert Each Fraction:**
   
   - For $$ \frac{5}{7} $$:
     $$
     \frac{5}{7} = \frac{5 \times 2}{7 \times 2} = \frac{10}{14}
     $$
   
   - For $$ \frac{1}{2} $$:
     $$
     \frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}
     $$

3. **Subtract the Fractions:**
   
   Now that both fractions have the same denominator, subtract the numerators:
   $$
   \frac{10}{14} - \frac{7}{14} = \frac{10 - 7}{14} = \frac{3}{14}
   $$

**Final Answer:**
$$
\frac{5}{7} - \frac{1}{2} = \frac{3}{14}
$$
$$ \frac{5}{7} - \frac{1}{2} = \frac{3}{14} $$

Combine and simplify \( \frac{5}{7}-\frac{1}{2} \)

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