Question

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Explanation:

Step1: Understand the problem

We have \(\frac{1}{3}\) gallon of lemonade and we need to divide it equally among 3 cups. So we need to perform the division \(\frac{1}{3}\div3\).

Step2: Divide the fraction by the whole number

Recall that dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 3 is \(\frac{1}{3}\). So \(\frac{1}{3}\div3=\frac{1}{3}\times\frac{1}{3}\).

Step3: Multiply the fractions

When multiplying fractions, we multiply the numerators and the denominators. So \(\frac{1}{3}\times\frac{1}{3}=\frac{1\times1}{3\times3}=\frac{1}{9}\).

Answer:

\(\frac{1}{9}\)