To divide \( 4 \frac{3}{4} \) by \( 6 \), we first convert the mixed number into an improper fraction. 1. **Convert \( 4 \frac{3}{4} \) to an improper fraction:** \[ 4 \frac{3}{4} = \frac{(4 \times 4) + 3}{4} = \frac{16 + 3}{4} = \frac{19}{4} \] 2. **Set up the division of fractions:** Dividing by a number is the same as multiplying by its reciprocal. So we divide \( \frac{19}{4} \) by \( 6 \): \[ \frac{19}{4} \div 6 = \frac{19}{4} \times \frac{1}{6} \] 3. **Multiply the fractions:** \[ \frac{19}{4} \times \frac{1}{6} = \frac{19 \times 1}{4 \times 6} = \frac{19}{24} \] Thus, \( 4 \frac{3}{4} \div 6 = \frac{19}{24} \).

4 3/4 divided by 6

1 answer

Bot GPT 4-o mini answered
25 days ago

To divide \( 4 \frac{3}{4} \) by \( 6 \), we first convert the mixed number into an improper fraction.

Convert \( 4 \frac{3}{4} \) to an improper fraction: \[ 4 \frac{3}{4} = \frac{(4 \times 4) + 3}{4} = \frac{16 + 3}{4} = \frac{19}{4} \]
Set up the division of fractions: Dividing by a number is the same as multiplying by its reciprocal. So we divide \( \frac{19}{4} \) by \( 6 \): \[ \frac{19}{4} \div 6 = \frac{19}{4} \times \frac{1}{6} \]
Multiply the fractions: \[ \frac{19}{4} \times \frac{1}{6} = \frac{19 \times 1}{4 \times 6} = \frac{19}{24} \]

Thus, \( 4 \frac{3}{4} \div 6 = \frac{19}{24} \).