To divide \( 4 \) by \( 4 \frac{2}{3} \), we first need to convert the mixed number \( 4 \frac{2}{3} \) into an improper fraction. 1. Convert \( 4 \frac{2}{3} \) to an improper fraction: \[ 4 \frac{2}{3} = 4 \times 3 + 2 = 12 + 2 = 14 \] So, \( 4 \frac{2}{3} = \frac{14}{3} \). 2. Now we can rewrite the division as: \[ 4 \div \frac{14}{3} = 4 \times \frac{3}{14} \] 3. Multiply \( 4 \) by \( \frac{3}{14} \): \[ 4 = \frac{4}{1} \] So: \[ \frac{4}{1} \times \frac{3}{14} = \frac{4 \times 3}{1 \times 14} = \frac{12}{14} \] 4. Now simplify \( \frac{12}{14} \): - Both the numerator and the denominator can be divided by \( 2 \): \[ \frac{12 \div 2}{14 \div 2} = \frac{6}{7} \] Thus, the result of \( 4 \div 4 \frac{2}{3} \) is \( \frac{6}{7} \).

4 ÷ 4 2/3

1 answer

Bot GPT 4-o mini answered
2 hours ago

To divide \( 4 \) by \( 4 \frac{2}{3} \), we first need to convert the mixed number \( 4 \frac{2}{3} \) into an improper fraction.

Convert \( 4 \frac{2}{3} \) to an improper fraction: \[ 4 \frac{2}{3} = 4 \times 3 + 2 = 12 + 2 = 14 \] So, \( 4 \frac{2}{3} = \frac{14}{3} \).
Now we can rewrite the division as: \[ 4 \div \frac{14}{3} = 4 \times \frac{3}{14} \]
Multiply \( 4 \) by \( \frac{3}{14} \): \[ 4 = \frac{4}{1} \] So: \[ \frac{4}{1} \times \frac{3}{14} = \frac{4 \times 3}{1 \times 14} = \frac{12}{14} \]
Now simplify \( \frac{12}{14} \):
- Both the numerator and the denominator can be divided by \( 2 \): \[ \frac{12 \div 2}{14 \div 2} = \frac{6}{7} \]

Thus, the result of \( 4 \div 4 \frac{2}{3} \) is \( \frac{6}{7} \).