2. $$ \frac{3}{7}-\frac{1}{6}= $$

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UpStudy AI · Accepted Answer

To subtract the fractions $$ \frac{3}{7} $$ and $$ \frac{1}{6} $$, follow these steps:

1. **Find a Common Denominator:**
   
   The denominators are 7 and 6. The least common denominator (LCD) is the smallest number that both denominators divide into evenly. 
   
   - LCD of 7 and 6 is **42**.

2. **Convert Each Fraction to the Common Denominator:**
   
   - For $$ \frac{3}{7} $$:
     $$
     \frac{3}{7} = \frac{3 \times 6}{7 \times 6} = \frac{18}{42}
     $$
   
   - For $$ \frac{1}{6} $$:
     $$
     \frac{1}{6} = \frac{1 \times 7}{6 \times 7} = \frac{7}{42}
     $$

3. **Subtract the Converted Fractions:**
   
   $$
   \frac{18}{42} - \frac{7}{42} = \frac{18 - 7}{42} = \frac{11}{42}
   $$

So, the result of the subtraction is:
$$
\frac{3}{7} - \frac{1}{6} = \frac{11}{42}
$$
$$ \frac{3}{7} - \frac{1}{6} = \frac{11}{42} $$

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