A playground is rectangular with a length of \( \frac{2}{4} \) miles. If area of the playground is \( \frac{8}{12} \) square miles, what is its width? Input your answer as a fraction.

To find the width of the playground, we can use the formula for the area of a rectangle, which is Area = Length x Width. We need to first simplify the given values: Length = \( \frac{2}{4} = \frac{1}{2} \) miles Area = \( \frac{8}{12} = \frac{2}{3} \) square miles Now we can set up the equation: \[ \frac{2}{3} = \frac{1}{2} \times \text{Width} \] To find the width, we can multiply both sides by 2 to eliminate the fraction on the right: \[ \frac{2}{3} \times 2 = \text{Width} \] \[ \text{Width} = \frac{4}{3} \text{ miles} \] Thus, the width of the playground is \( \frac{4}{3} \) miles.