10. $$ \frac{7}{9}+\frac{1}{5}= $$

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UpStudy AI · Accepted Answer

To add the fractions $$\frac{7}{9}$$ and $$\frac{1}{5}$$, follow these steps:

1. **Find a Common Denominator:**
   
   The denominators are 9 and 5. The least common denominator (LCD) is the smallest number that both denominators divide into evenly.

$$
   \text{LCD of 9 and 5} = 45
   $$

2. **Convert Each Fraction to Have the Common Denominator:**
   
   $$
   \frac{7}{9} = \frac{7 \times 5}{9 \times 5} = \frac{35}{45}
   $$
   
   $$
   \frac{1}{5} = \frac{1 \times 9}{5 \times 9} = \frac{9}{45}
   $$

3. **Add the Converted Fractions:**
   
   $$
   \frac{35}{45} + \frac{9}{45} = \frac{35 + 9}{45} = \frac{44}{45}
   $$

So,

$$
\frac{7}{9} + \frac{1}{5} = \frac{44}{45}
$$

**Final Answer:** $$\frac{44}{45}$$
$$\frac{44}{45}$$

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