Question

4 ÷ 4 2/3

Answer 1

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 \( \frac{6}{7} \).