(14.) $$ \frac{1}{7}+\frac{1}{2} $$

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UpStudy AI · Accepted Answer

To add the fractions $$\frac{1}{7}$$ and $$\frac{1}{2}$$, 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:**
   - Convert $$\frac{1}{7}$$ to have the denominator 14:
     $$
     \frac{1}{7} = \frac{1 \times 2}{7 \times 2} = \frac{2}{14}
     $$
   - Convert $$\frac{1}{2}$$ to have the denominator 14:
     $$
     \frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}
     $$

3. **Add the Fractions:**
   $$
   \frac{2}{14} + \frac{7}{14} = \frac{2 + 7}{14} = \frac{9}{14}
   $$

So, 
$$
\frac{1}{7} + \frac{1}{2} = \frac{9}{14}
$$

**Final Answer:** 
$$
\frac{9}{14}
$$
$$ \frac{1}{7} + \frac{1}{2} = \frac{9}{14} $$

(14.) \( \frac{1}{7}+\frac{1}{2} \)

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