5. $$ \frac{5}{9}+\frac{1}{2}= $$

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UpStudy AI · Accepted Answer

To add the fractions $$\frac{5}{9}$$ and $$\frac{1}{2}$$, follow these steps:

1. **Find a Common Denominator:**
   - The denominators are 9 and 2.
   - The least common denominator (LCD) of 9 and 2 is 18.

2. **Convert Each Fraction to Have the LCD:**
   - $$\frac{5}{9} = \frac{5 \times 2}{9 \times 2} = \frac{10}{18}$$
   - $$\frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18}$$

3. **Add the Converted Fractions:**
   $$
   \frac{10}{18} + \frac{9}{18} = \frac{19}{18}
   $$

4. **Simplify if Necessary:**
   - $$\frac{19}{18}$$ is an improper fraction and can also be expressed as $$1 \frac{1}{18}$$.

**Final Answer:**
$$
\frac{19}{18}
$$
$$ \frac{19}{18} $$

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