To divide \(6 \frac{1}{2}\) by 4, first convert the mixed number to an improper fraction.
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Convert \(6 \frac{1}{2}\): \[ 6 \times 2 + 1 = 12 + 1 = 13 \] So, \(6 \frac{1}{2} = \frac{13}{2}\).
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Now, divide \(\frac{13}{2}\) by 4: \[ \frac{13}{2} \div 4 = \frac{13}{2} \times \frac{1}{4} = \frac{13 \times 1}{2 \times 4} = \frac{13}{8}. \]
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You can also convert \(\frac{13}{8}\) back to a mixed number: \[ 13 \div 8 = 1 \quad \text{with a remainder of } 5. \] This means \( \frac{13}{8} = 1 \frac{5}{8} \).
Thus, \(6 \frac{1}{2} \div 4 = \frac{13}{8}\) or \(1 \frac{5}{8}\).