6 1/2 divded by 4

1 answer

To divide \(6 \frac{1}{2}\) by 4, first convert the mixed number to an improper fraction.

  1. Convert \(6 \frac{1}{2}\): \[ 6 \times 2 + 1 = 12 + 1 = 13 \] So, \(6 \frac{1}{2} = \frac{13}{2}\).

  2. Now, divide \(\frac{13}{2}\) by 4: \[ \frac{13}{2} \div 4 = \frac{13}{2} \times \frac{1}{4} = \frac{13 \times 1}{2 \times 4} = \frac{13}{8}. \]

  3. 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 \(1 \frac{5}{8}\).