8. $$ 4 \frac{6}{10}+5 \frac{7}{10} $$

Question

UpStudy AI · Accepted Answer

1. Write each mixed number as the sum of its whole part and fractional part:  
   $$
   4\frac{6}{10} = 4 + \frac{6}{10}, \quad  5\frac{7}{10} = 5 + \frac{7}{10}
   $$

2. Add the whole parts and the fractional parts separately:  
   $$
   4 + 5 = 9
   $$  
   $$
   \frac{6}{10} + \frac{7}{10} = \frac{6+7}{10} = \frac{13}{10}
   $$

3. Combine the results:  
   $$
   9 + \frac{13}{10}
   $$

4. Convert $$\frac{13}{10}$$ to a mixed number:  
   $$
   \frac{13}{10} = 1\frac{3}{10} \quad \text{(since }13 = 10 + 3\text{)}
   $$

5. Add the whole number parts together:  
   $$
   9 + 1\frac{3}{10} = 10\frac{3}{10}
   $$

Thus, the answer is  
$$
10\frac{3}{10}
$$
$$ 10\frac{3}{10} $$

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