To solve the expression \( \frac{2}{3} - 1 \frac{1}{3} \), let's break it down step by step:

1. Convert the mixed number to an improper fraction:
   \[
   1 \frac{1}{3} = \frac{3 \times 1 + 1}{3} = \frac{4}{3}
   \]

2. Now, subtract the two fractions:
   \[
   \frac{2}{3} - \frac{4}{3}
   \]

3. Since the denominators are the same, simply subtract the numerators:
   \[
   \frac{2 - 4}{3} = \frac{-2}{3}
   \]

So, the result is \( \frac{-2}{3} \) or \( -\frac{2}{3} \).

Would you like more details or have any other questions?

Here are 5 related questions to expand your understanding:
1. How do you add or subtract mixed numbers without converting them to improper fractions?
2. What happens when the numerators are larger than the denominators in a subtraction problem?
3. How do you multiply or divide fractions?
4. How can you simplify complex fractions?
5. How do you convert improper fractions back to mixed numbers?

**Tip:** When subtracting fractions with the same denominator, you only need to subtract the numerators and keep the denominator the same.

Learn how to subtract fractions and mixed numbers with a detailed step-by-step solution for the problem 2/3 - 1 1/3. This problem covers key concepts including fractions, mixed numbers, and subtraction of fractions. Suitable for students in Grades 6-8.

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