To solve the expression \(6 \frac{4}{3} - 3 \frac{1}{3}\), let's first convert the mixed numbers to improper fractions and then perform the subtraction.

1. Convert \(6 \frac{4}{3}\) to an improper fraction:
   \[
   6 \frac{4}{3} = \frac{6 \times 3 + 4}{3} = \frac{18 + 4}{3} = \frac{22}{3}
   \]

2. Convert \(3 \frac{1}{3}\) to an improper fraction:
   \[
   3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3}
   \]

3. Subtract the fractions:
   \[
   \frac{22}{3} - \frac{10}{3} = \frac{22 - 10}{3} = \frac{12}{3} = 4
   \]

So, the answer is \(4\).

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How do you convert improper fractions back to mixed numbers?
2. What is the difference between mixed numbers and improper fractions?
3. How do you add fractions with different denominators?
4. How can you simplify fractions?
5. How do you multiply mixed numbers?

**Tip:** Always convert mixed numbers to improper fractions for easier addition or subtraction!

Learn how to subtract mixed numbers by converting them to improper fractions. This detailed step-by-step guide shows how to solve the problem 6 4/3 - 3 1/3, explaining the conversion process and fraction subtraction. Suitable for Grades 5-7.

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