Find the unit rate. \( \frac{1}{3} \) kilograms : \( \frac{2}{3} \) foot. The unit rate is \( \square \) kilograms per foot.

To find the unit rate, you divide the first quantity by the second quantity. Here, you divide \( \frac{1}{3} \) kilograms by \( \frac{2}{3} \) foot. When you divide by a fraction, it's the same as multiplying by its reciprocal. So, \( \frac{1}{3} \div \frac{2}{3} = \frac{1}{3} \times \frac{3}{2} = \frac{1 \cdot 3}{3 \cdot 2} = \frac{3}{6} = \frac{1}{2} \). Thus, the unit rate is \( \frac{1}{2} \) kilograms per foot. This ratio can be incredibly useful in various real-life situations, such as cooking or construction, where you may need to know how much weight corresponds to a certain length or volume. Knowing how to calculate unit rates helps you make quick comparisons and informed decisions, whether you’re figuring out the best buy at the grocery store or measuring materials for a DIY project!