Hernando's calculations are not correct. Let's go through the reasoning step by step.
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Hernando ate \( \frac{2}{8} \) of the pizza, which means the remaining pizza is: \[ 1 - \frac{2}{8} = \frac{8}{8} - \frac{2}{8} = \frac{6}{8} \]
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He has \( \frac{6}{8} \) of the pizza left to share among his 6 friends.
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To find out how much each friend gets, he needs to divide the remaining pizza by the number of friends: \[ \frac{6}{8} \div 6 \]
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Dividing by 6 can be expressed as multiplying by the reciprocal of 6: \[ \frac{6}{8} \div 6 = \frac{6}{8} \times \frac{1}{6} = \frac{6 \times 1}{8 \times 6} = \frac{6}{48} \]
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Simplifying \( \frac{6}{48} \): \[ \frac{6 \div 6}{48 \div 6} = \frac{1}{8} \]
Thus, while Hernando ultimately arrived at the correct answer that each friend receives \( \frac{1}{8} \) of the pizza, his reasoning was flawed because he stated \( \frac{6}{8} \div 6 \) as \( \frac{6}{8} \) divided by 6 incorrectly by attempting to use \( \frac{6}{6} \) instead of considering the whole fraction \( \frac{6}{8} \).
The correct conclusion is: Although the final answer was correct, Hernando's method was incorrect. Therefore, the best response from the options given is:
No, they are not correct. Hernando should have divided \( \frac{6}{8} \) by 6, not by \( \frac{6}{6} \).