To convert the improper fraction \(\frac{53}{6}\) into a mixed number, follow these steps:
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Divide the numerator (53) by the denominator (6): \[ 53 \div 6 = 8 \quad \text{(whole number)} \] The integer part of the division is 8.
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Find the remainder of the division: \[ 53 - (6 \times 8) = 53 - 48 = 5 \] The remainder is 5.
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Now, combine the whole number and the remainder over the original denominator: \[ 8 \frac{5}{6} \]
Thus, \(\frac{53}{6}\) can be expressed as the mixed number \(8 \frac{5}{6}\).