To convert \( \frac{41}{6} \) into a mixed number, you divide the numerator (41) by the denominator (6).
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Perform the division: \( 41 \div 6 = 6 \) (with a remainder).
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Calculate the remainder: \( 6 \times 6 = 36 \) \( 41 - 36 = 5 \) Thus, the remainder is 5.
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Construct the mixed number: The whole number is 6, and the remainder (5) becomes the numerator of the fractional part, while the denominator remains 6.
Thus, \( \frac{41}{6} \) can be expressed as the mixed number \( 6 \frac{5}{6} \).
So, the final answer is: \[ 6 \frac{5}{6} \]