What is 4 1/4 divided by 1/2 into mixed numbers

Answer 1

To divide \( 4 \frac{1}{4} \) by \( \frac{1}{2} \), we can follow these steps:

1. Convert the mixed number to an improper fraction: \[ 4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \]

2. Set up the division: \[ \frac{17}{4} \div \frac{1}{2} \]

3. Multiply by the reciprocal: \[ \frac{17}{4} \times \frac{2}{1} = \frac{17 \times 2}{4 \times 1} = \frac{34}{4} \]

4. Simplify the fraction: \[ \frac{34}{4} = \frac{17}{2} \]

5. Convert back to a mixed number: \[ \frac{17}{2} = 8 \frac{1}{2} \]

So, \( 4 \frac{1}{4} \div \frac{1}{2} = 8 \frac{1}{2} \).