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To solve this problem, we need to figure out how many \( \frac{1}{3} \) cups are required to make \( 3 \frac{2}{3} \) cups.

1. **Convert the mixed number to an improper fraction:**  
   \( 3 \frac{2}{3} = \frac{11}{3} \). 

   Here's how:
   - Multiply the whole number 3 by the denominator 3: \( 3 \times 3 = 9 \).
   - Add the numerator 2: \( 9 + 2 = 11 \).
   - So, \( 3 \frac{2}{3} = \frac{11}{3} \).

2. **Determine how many \( \frac{1}{3} \) cups make up \( \frac{11}{3} \) cups:**  
   Since each cup is \( \frac{1}{3} \) of a cup, we need to divide \( \frac{11}{3} \) by \( \frac{1}{3} \):
   \[
   \frac{11}{3} \div \frac{1}{3} = 11.
   \]

So, you would need to use **11** of the \( \frac{1}{3} \) cups to measure out \( 3 \frac{2}{3} \) cups of flour.

Would you like further details or have any questions?

### Related Questions
1. How would you convert a mixed number to an improper fraction in general?
2. If the recipe called for \( 2 \frac{1}{2} \) cups, how many \( \frac{1}{3} \) cups would you need?
3. How do you multiply fractions when adjusting recipes?
4. What if the measuring cup was \( \frac{1}{4} \) instead of \( \frac{1}{3} \)? How many would you need for \( 3 \frac{2}{3} \) cups?
5. Can you explain why dividing by a fraction results in multiplication by its reciprocal?

### Tip
When working with mixed numbers, always convert them to improper fractions first for easier calculations, especially when dealing with division or multiplication.

If you only have a 1/3 cup measuring cup and a recipe calls for 3 2/3 cups of flour, how many 1/3 cups would you need to use?

Learn how to solve a fraction problem where you determine how many 1/3 cups of flour you need to use when a recipe calls for 3 2/3 cups. This solution walks you through converting a mixed number to an improper fraction and dividing fractions.

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