To represent the quantity of milk Jim needs for his sauce using a rational number, you can use the fraction \( \frac{1}{3} \) itself, as it is already in rational form. Rational numbers are numbers that can be expressed as the ratio of two integers, and \( \frac{1}{3} \) meets this definition because it can be written as \( \frac{1}{3} = 1 \div 3 \).
If you want to express this quantity in a decimal form for further clarity, you can convert it:
\[ \frac{1}{3} \approx 0.3333 \ldots \]
This means that Jim needs approximately 0.3333 cups of milk. Therefore, either \( \frac{1}{3} \) or 0.3333 is a rational number that represents the quantity of milk needed.