Work out $$ 2 \frac{1}{5}+1 \frac{1}{5} $$ Give your answer as a mixed number in its simplest form.

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UpStudy AI · Accepted Answer

1. Convert the mixed numbers to improper fractions:
   - For $$ 2 \frac{1}{5} $$, multiply the whole number by the denominator and add the numerator:
     $$
     2 \cdot 5 + 1 = 10 + 1 = 11, \quad \text{so } 2 \frac{1}{5} = \frac{11}{5}
     $$
   - For $$ 1 \frac{1}{5} $$, similarly:
     $$
     1 \cdot 5 + 1 = 5 + 1 = 6, \quad \text{so } 1 \frac{1}{5} = \frac{6}{5}
     $$

2. Add the fractions:
   $$
   \frac{11}{5} + \frac{6}{5} = \frac{11+6}{5} = \frac{17}{5}
   $$

3. Convert the result back to a mixed number:
   - Divide the numerator by the denominator:
     $$
     17 \div 5 = 3 \text{ remainder } 2
     $$
   - So, the mixed number is:
     $$
     3 \frac{2}{5}
     $$

The final answer is $$ 3 \frac{2}{5} $$.
$$ 3 \frac{2}{5} $$

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Give your answer as a mixed number in its simplest form.

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