To add \(6 \frac{2}{5}\) and \(2 \frac{2}{5}\), we can first convert the mixed numbers into improper fractions.
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For \(6 \frac{2}{5}\): \[ 6 \frac{2}{5} = 6 \times 5 + 2 = 30 + 2 = \frac{32}{5} \]
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For \(2 \frac{2}{5}\): \[ 2 \frac{2}{5} = 2 \times 5 + 2 = 10 + 2 = \frac{12}{5} \]
Now, we can add the two improper fractions: \[ \frac{32}{5} + \frac{12}{5} = \frac{32 + 12}{5} = \frac{44}{5} \]
Next, we convert \(\frac{44}{5}\) back into a mixed number: \[ \frac{44}{5} = 8 \frac{4}{5} \]
Thus, \(6 \frac{2}{5} + 2 \frac{2}{5} = 8 \frac{4}{5}\).