To find the result of \( 4 \div \frac{8}{12} \), you can first convert the division by a fraction into multiplication by the reciprocal of that fraction.
So, we have: \[ 4 \div \frac{8}{12} = 4 \times \frac{12}{8} \]
Next, simplify \( \frac{12}{8} \): \[ \frac{12}{8} = \frac{3}{2} \]
Now, substitute this back into the equation: \[ 4 \times \frac{3}{2} = \frac{4 \times 3}{2} = \frac{12}{2} = 6 \]
Thus, the result of \( 4 \div \frac{8}{12} \) is \( 6 \).